The balance of Marissa’s retirement account after 15 years if She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years is $8500.
What is interest?
When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given data:
Initial deposit = $1000
Her contributions are $500 a month for the next 15 years
Amount after 15 years = Initial deposit + 15 × 500
Amount after 15 years = $1000 + 7500
Amount after 15 years = $8500
Therefore, the balance of Marissa’s retirement account after 15 years if She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years is $8500.
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the owner of a smoothie shop wants to survey customers to find out what new fruits should be added to the menu
Answer:
Step-by-step explanation:
Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipts.
Its correct I got it right!!
The approach which is most likely to represent a sample that is representative of the population is option C. Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipt.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
The random sample we need here is the sample of customers coming to a shop.
If we select the customers by the other options other than the third one, it will lead to various bias issues like sampling bias and research bias.
Hence the most appropriate method is to use option c.
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The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
•A. Infinitely many
•B. Two
•C. Zero
•D. One
Question
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
•A. Infinitely many
•B. Two
•C. Zero
•D. One
D: One is the answer
How do I measure 1 square meter?
Answer:
you need to know the length and width of the square or rectangle. This is also referred to as the area of the shape. The formula for calculating square meters is length x width = m2.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point f is at 4, and point g is at. Point h lies between point f and point g. If the ratio of fh to hg is 3 : 9, where does point h lie on the number line? point h is at on the number line.
The point H is at 2.5 on the number line
Here we know that point F is at 4 and point G is at -2.
The distance between these 2 points is
4 - (-2)
= 4 + 2 units
= 6 units.
Now let the point H be at x on the number line.
Now it is given that
FH:GH = 3:9
or, FH/GH = 3/9
or, (4 - x) / (x - (-2)) = 3/9
or, (4 - x)/(x + 2) = 1 /3
or, 12 - 3x = x + 2
or, 4x = 10
or, x = 2.5
Hence point H is at 2.5
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Complete Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point F is at 4, and point G is at -2. Point H lies between point F and point G. If the ratio of FH to HG is 3:9, where does point H lie on the number line? Point H is at the number line.
Dante can type 48 words in 6 minutes. What is his rate in words per minute.
Answer:
8 words per minute.
Step-by-step explanation:
Divide 48 by 6
The length of a clothe is 9m, it was increased to 12m, what is the percent of change.
Answer:
33.33%
Step-by-step explanation:
Calculate percentage change from
V1 = 9 to V2 = 12
(V2-V1)|V1|×100
=(12−9)|9|×100
=3/9×100
=0.333333×100
=33.33%
if p1, p2 and p3 are probabilities of surviving for years 1, 2 and 3 respectively, what is the cumulative probability of surviving for 3 years?
If p1, p2 and p3 are probabilities of surviving for years 1, 2 and 3 respectively, then the cumulative probability of surviving for 3 years is p1 + p2 + p3
The probability of surviving for 1 year = p1
The probability of surviving for 2 year = p2
The probability of surviving for 3 year = p3
The probability is the ratio of the number of favorable outcomes to the total number of outcomes.
The cumulative probability is defined as the probability distribution of random variables
The cumulative probability = p1 + p2 + p3
Therefore, the cumulative probability of surviving for 3 years is p1 + p2 + p3
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45% of the fish in a pond are perch, 3/10 of the fish are carp and the rest of the fish are trout. Write the ratio of perch to carp to trout in this pond in its simplest form
Answer:
The ratio of perch to carp to trout in the pond is 3:3:4, which is the simplest form. This means that for every 3 perch, there are 3 carp and 4 trout.
What does it mean when the slope is 2 to 1?
The slope is 2 to 1 means you move up or down 1 foot for every 2 feet.
The slope is 2 to 1 means you move up or down 1 foot for every 2 feet. [tex]2:1[/tex] slopes have guardrails along the edge(side) of the pavement as you drive down the highway. It can be seen from either an on or off-ramp.
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Using the Distributive Property, Solve the Problem below:
-2.5(4x - 4) = -6
(After using the Distributive Property, Solve for x)
The solution of the given linear equation can be obtained as x = 0.4.
What is meant by the distributive property?The distributive property states that the product of a number and the sum of other numbers is equal to the sum of their individual products.
It can be expressed as a(b + c + d) = ab + ac + ad.
The given linear equation can be solved as follows,
-2.5(4x - 4) = -6
Use distribute property in the RHS to obtain,
-2.5 × 4x - 2.5 × -4 = 6
=> -10x + 10 = 6
=> -10x = -4
=> x = 0.4
Hence, the given equation can be solved as x = 0.4.
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!!!!!!!!!!
2x-3y-9≥0
Answer:
try
Step-by-step explanation:
what is 55/100 as a decimal
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?
The probability that the person uses exactly one of the facilities is 0.8.
Given that, there are 120 people in a sport center.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Now, the person uses exactly one of the facilities
= 78+46+41-(21+16+24+9)
= 165-70
= 95
So, probability =95/120
= 0.8
Therefore, the probability that the person uses exactly one of the facilities is 0.8.
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thor weighs 192 pounds and plans on losing 2.1 pounds each month. belvedere weighs 211 pounds and plans on losing 7.5 pounds per month. If they stick to their plans, how many months will it take for belvedere to weigh the same as thor
By solving a linear equation, it can be calculated that-
It takes 3.51 months for Belvedere to weigh the same as Thor
What is a linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
A linear equation needs to be solved here
Let the number of months for Belvedere to weigh the same as Thor be x months
Thor weighs 192 pounds and plans on losing 2.1 pounds each month.
Weight of Thor after x months = 192 - 2.1x
Belvedere weighs 211 pounds and plans on losing 7.5 pounds per month.
Weight of Belvedere after x months = 211 - 7,5x
By the problem,
The linear equation is
192 - 2.1x = 211 - 7.5x
7.5x - 2.1x = 211 - 192
3.51 5.4x = 19
x = [tex]\frac{19}{5.4}[/tex]
x = 3.51 months
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Eliza is making a batch of candles to sell at a craft
fair. The materials for one candle cost $3. If she
adds a 75% markup, how much money does she
charge for a candle?
Answer:
$5.25
Step-by-step explanation:
3 + .75(3)
3 + 2.25
5.25
82% of Ms.M's students increase their math SAT score. Of those, 75% increase their score by at least 100 points. Overall, what percent of students increase their math SAT score by at least 100 points?
Step-by-step explanation:
80()#-$/-38३८8३88353738३३
How do you split an infinitive in a sentence?
To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.
In the given question we have to explain, how we split an infinitive in a sentence.
As we know that,
Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.
To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.
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solve and graph by using systems of inequalities.
A 24 hour radio station plays only classical music, jazz music, talk programs, and news. It plays at most 12 hours of music per day, of which at least 4 hours is classical. Jazz music gets 25% as much time as classical. Write and graph a system of inequalities.
PLEASE HELP!!!
The inequality that represent the at most no. of musics played are,
C ≤ 4, J ≤ 1 and 4C + 0.25C ≤ 12
What are inequalities and it's types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, The radio station plays at most 12 hours of music per day.
Let C denotes classical music, J denotes jazz music,
25% of 4 hours is 1 hour.
∴ The inequality representing this situation is
C ≤ 4 and J ≤ 1.
4C + 0.25C ≤ 12. (less that or equal to is atmost)
4.25C ≤ 12.
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x+2 over 3 = 2x-6 over 8
mia is taking art and calculus courses on mondays. she is late for the art class with probability 0.5 and late for the calculus class with probability 0.4. suppose the two events are independent. what is the probability that mia is on time to exactly one of the classes?
The probability that Mia is on time to exactly one of the classes is 0.5
Given that
probability of she is late for the art class (x)= 0.5
probability of she is late for the calculus class(y) = 0.4
the probability of she is not late for the art class (z)= 1 - x = 1 - 0.5 =0.5
the probability of she is not late for the calculus class(p)= 1 - y = 1 - 0.4 = 0.6
the probability that Mia is on time to exactly one of the classes =
Probability of arriving (late for Calculus and on time for Art)) or (late for Calculus and on time for Art)
= (x × p) + (y × z)
=(0.5 × 0.6) +(0.4 × 0.5)
=0.3+0.2
= 0.5
The probability that mia is on time to exactly one of the classes = 0.5
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a tree that is 15 feet tall casts a shadow that is 4 feet long. what is the distance from the top of the tree to the tip of the shadow? round to the nearest tenth.
By using trigonometry, it can be calculated that-
Distance from the top of the tree to the tip of the shadow is 15.46 feet
What is Trigonometry?
Trigonometry shows the relationship between sides and angles of a right angled triangle.
There are six trigonometrical functions
[tex]sin \theta, cos \theta, tan \theta, cot \theta, sec \theta, cosec \theta[/tex]
[tex]sin \theta = \frac{Perpendicular}{Hypotenuse}\\\\cos \theta = \frac{Base}{Hypotenuse} \\\\tan \theta = \frac{Perpendicular}{Base} \\\\cot \theta = \frac{Base}{Perpendicular} \\\\sec \theta = \frac{Hypotenuse}{Base} \\\\cosec \theta = \frac{Hypotenuse}{Perpendicular} \\\\[/tex]
Let the angle of elevation be [tex]\theta[/tex] and distance from the top of the tree to the tip of the shadow be d feet
Here the tree represents the perpendicular, shadow represents the base and distance from the top of the tree to the tip of the shadow represents the hypotenuse
A tree that is 15 feet tall casts a shadow that is 4 feet long
[tex]tan\theta = \frac{15}{4}\\\theta = tan^{-1}( \frac{15}{4})\\\theta = 75.1^{\circ}[/tex]
Now,
[tex]sin75.1^{\circ} = \frac{15}{d}[/tex]
[tex]0.97 = \frac{15}{d}\\d = \frac{15}{0.97}\\d = 15.46 \ feet[/tex]
Distance from the top of the tree to the tip of the shadow is 15.46 feet
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Drag each tile to the correct box. Not all tiles will be used.
Given a horizontal line segment AB and a point C, place the steps for copying AB to create CD in the proper order.
By using the rule of construction of a line segment,
The steps for copying line segment AB to create line segment CD in the proper order are given below.
What is a line?
Anything that has only length but no breadth and height is called a line.
Part of a line is called line segment.
The steps for copying line segment AB to create line segment CD in the proper order are
Step 1: Set the compass width to AB
Step 2: Place the compass point at point c and draw an arc
Step 3: Mark a point D anywhere on the arc
Step 4: Draw CD
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What is the 1st perfect number?
The smallest perfect number is 6.
Any positive integer whose sum is equal to its divisors is known as a perfect number. A point to be noted is that the number itself is not included here.
If we go serially,
1 cannot be included as its only divisor is the number itself.
2's divisor is 1, and we can clearly see they are not equal.
3's divisor is 1 again. Hence not a perfect number.
4's divisor is 1 and 2. 1 + 2 = 3, which again is not 4.
5's divisor is 1.
6's divisors are 1, 2 and 3.
We can see that 1 + 2 + 3
= 6
Hence, the smallest perfect number is 6.
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6 is the smallest or first perfect number in a mathematics.
Any positive integer in which whose sum is equal to its divisors is known as a perfect number. A point is to be noted that should not be a number itself is not included here as required so the number should be deterministic .
1 is a number cannot be included as its only divisor is the number to itself.
2's divisor is 1, and we can clearly see that they are not equal.
3's divisor is 1 again. Hence the number 1 is not a perfect number.
4's divisor is 1 and 2. 1 + 2 = 3, which again is not 4.
5's divisor is 1.
6's divisors are 1, 2 and 3.
We can see that 1 + 2 + 3 = 6
Hence, the smallest perfect number is 6.
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Please help!! 20 points to anyone who gives the RIGHT answer!!
Point Q is on line segment PR. Given PR = 10 and QR = 8 determine the length PQ.
By means of Euclidean geometry and algebra, the line segment PQ has a length of 2 units.
How to determine the length of a line segment
In this problem we find the case of a geometric system formed by a line segment PR with a point Q on the line between P and R. Thus, a line segment PQ is inside the line segment described above.
According to the statement, the lengths of the line segments PR and QR are known and the length of line segment PQ can be known by Euclidean geometry and algebra:
PR = PQ + QR
PQ = PR - QR
If we know that PR = 10 and QR = 8, then the line segment PQ is calculated below:
PQ = 10 - 8
PQ = 2
In accordance with algebra and Euclidean trigonometry, the length of line segment PQ is 2.
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Evaluate the expression for the given value of the variable. 34 + 1/6r, r = -1/2
Answer:
407/12
Step-by-step explanation:
r=-1/2
Substituting, we get 34+1/6*-1/2=34+(-1/12) = 407/12.
What is the value of x? Responses 3 12 6√2 6
Applying the sine ratio, the value of x is calculated as: x = 6.
How to Find the Value of x Using the Sine Ratio?The sine ratio is part of the trigonometric ratios that is used to solve a right triangle, which is expressed as:
sin ∅ = opposite side length / hypotenuse length
Given the following:
Reference angle (∅) = 45°Opposite length = 6√2Hypotenuse length = xApply the sine ratio to find the value of x:
sin 45 = 6√2/x
Multiply both sides by x
sin 45 × x = 6√2
Divide both sides by sin 45:
sin 45 × x / sin 45 = 6√2/sin 45
x = 6√2 / √2/2
x = 6√2 × 2/√2
x = 12/2
x = 6
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What 2 numbers have a sum of 3 and a product of -10?
the answer is 5 and negative 2
Part A Fill in the blank question. A model car is for sale online. Beginning on day one, the owner discounts the price by 5% each day until it sells. On the third day the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent? $ Part B Fill in the blank question. What percent discount does this represent from the original price? Round to the nearest whole percent.
Part A) If the original price of the model car was $40, and it was sold on the third day, with a daily discount of 5%, the sales amount is $34.30.
Part B) The percentage discount from the original price is 14%.
Calculating the percentage discount:The percentage discount is the total discount divided by the original price multiplied by 100.
In this instance, we compute the total discount as $5.70, then express this value as a numerator with $40 as the denominator. The quotient is multiplied by 100.
Original price of the model car = $40
Daily discount = 5%
The date the car sells = the third day
The sales price on the third day = $34.30 ($40 x 95% x 95% x 95%)
Total discounts = $5.70 ($40 - $34.30)
Percentage discount for three days =14.25% ($5.70/$40 x 100)
= 14%
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2 m
1 m
I
3m
The area of each of the bases will be
The
area of the right and left lateral faces will be
m².
✓m².
The area of the front and back lateral faces will be
m².
The lateral area of the prism will be
The surface area of the prism is 22 m².
m².
I have no idea im doing the same thing