Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]
[tex] A = 500(1 + 0.000137)^{1825}[/tex]
[tex] A = 500(1.000137)^{1825}[/tex]
[tex] A = 500*1.2840 [/tex]
Future value, A = $642
Can someone please solve this
what does 1 4/9 - 1/2= to?
SO BAD RN SMH SMH...HELP ME WITH MATH
4 x 2 - 5 + 63 + 1 =
Answer:
67
Step-by-step explanation:
4x2= 8-5= 3 + 63 = 66 + 1 = 67
Convert these improper fractions into mixed numbers.
5/4
Answer:
1 1/4
Step-by-step explanation:
4/4 + 1/4 = 5/4
4/4 = 1
so 1 1/4
Answer: 1 1/4
Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify. then when that down we need to calculate the greatest common factor.
Five houses in the neighborhood sold this month for the following prices:
$328,000, $297,500, $415,000, $389,000, $345,000.
The house with the highest selling price sold for how much more than the median selling price?
Answer:
70,000
Step-by-step explanation:
Median= 345,000
Higest selling house= 415,000
415,000-345,000= 70,000
Pasta costs £1.50 per kg.
How much does 600g of pasta cost?
The solution is, 600g of pasta cost £ 0.9.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
Pasta costs £1.50 per kg.
now we have to find,
How much does 600g of pasta cost
we know,
1 kg = 1000 grm.
so, we get,
1000 g Pasta costs £1.50
so, 1 g Pasta costs £1.50/1000
so, 600 g Pasta costs £1.50/1000 * 600
= £ 0.9
Hence, The solution is, 600g of pasta cost £ 0.9.
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Triangle PQR is similar to triangle KLM.
L
35 in.
Q
15 in.
72 in.
R
M M
x in.
What is the value of x in inches?
A 7 in.
B 148 in.
C 92 in.
168 in.
Answer: I think it’s b
Step-by-step explanation:
The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation is 1.6 hours. (a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours. % (b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours. % (c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day. % How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)
Answer:
a) 75%.
b) 84%
c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean: 6.3 hours
Standard deviation: 1.6 hours
(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.
3.1 = 6.3 - 2*1.6
9.5 = 6.3 + 2*1.6
Within 2 standard deviations, so the minimum percentage is 75%.
(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.
How many standard deviations from the mean?
One standard deviation is 1.6
These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which
[tex]k = \frac{4}{1.6} = 2.5[/tex]
The minimum percentage is:
[tex]100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%[/tex]
So 84%.
(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.
Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
8,626 round to the nearest thousand?
Answer:
9000
Step-by-step explanation:
Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down. Which of these would be a measure of
one of the resulting angles? Select all that apply.
160°
340°
80°
40°
120°
260°
Answer:120 and 160
Step-by-step explanation:
i did it
80° and 160° could be a measure of one of the resulting angles.
What are angles?Two rays intersect to form a angle. The point of intersection is called the vertex point.
Given is that two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down.
There is no effect of rotation and translations on the angles. Hence, we can say that 80° and 160° could be a measure of one of the resulting angles.
Therefore, 80° and 160° could be a measure of one of the resulting angles.
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what do you understand by resultant of a force
Answer:
When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.
Step-by-step explanation:
What is the answer for this 5c + 9 -2c -7
Step-by-step explanation:
Given
5c + 9 - 2c - 7
= 3c + 2
Hope it will help :)❤
Factorise
1) 9a^2 - 6a
Answer:
[tex]3a(3a - 2)[/tex]
Step-by-step explanation:
[tex]3(3a ^{2} - 2a) \\a(3a - 2) [/tex]
Is my Answers Correct? Very easy Question!
Answer:
Step-by-step explanation:
Correct
Step-by-step explanation:
the 5th one on the right is standard form,
the second one is perfect square form.
A triangular pyramid has a base area of 74 square inches and a height of 9 inches. Which is closest to the volume of the pyramid?
a 351 cubic inches
b 702 cubic inches
c 224 cubic inches
d 234 cubic inches
Answer:
702
Step-by-step explanation:
because 74 x 9 = 666 and 702 is close
A triangle has an area of 36 square feet. The height is 6 feet. What is the length of the base (in feet)?
Answer:
Answer · 6 votes
$b = 6 $ \ $ h =12$
please help I will give brainliest!
Peggy is p years old. Maggie is 1 year less than 1/4 of Peggy's age. What is Maggie's age in terms of p?
Answer:
1/2m+100
Step-by-step explanation:
Matthew has a shipping carton in the shape of a right rectangular prism. The volume of the shipping carton is 11. cubic meters. The
height of the shipping carton is 7 meters and the width is 2 meters.
What is the length of Matthew's shipping carton?
fraction in simplest form in the box
Answer:
Height = 0.7857 m = 13/16 m
Step-by-step explanation:
Height x 7 x 2 = 11
Height = 0.7857 m = 13/16 m
Which of the following satisfies Ž -2 = 12
Answer:
14
Step-by-step explanation:
if z is 14 than z-2=12
because 14-2=12
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 24 in
x 18 in x 16 in. The company rents a storage space that measures 400 ft x
240 ft x 60 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 576,000 boxes
B. 1,440,000 boxes
C. 6912 boxes
D. 972,000 boxes
Answer:The answer is c
Step-by-step explanation:
The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.
What is volume?
Volume is the three-dimensional space enclosed by a three-dimensional object.
We have to find the volume of the box and the volume of the storage space.
The volume of the box:Volume = length × breadth × height
= 24 × 18× 16 in³
=6912 in³
The volume of the storage space:Volume = length × breadth × height
= 400 × 240 × 60 ft³
= 5760000 ft³
We have to convert this into inches. We know that 1 foot = 12 inches.Therefore, 5760000 ft³ = 5760000 × (12)³ in³
We have to divide the volume of the storage space by the volume of the box to find the number of boxes that it can fit:Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³
= 1440000 boxes.
Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.
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balance the equation showing all 6 steps. 200=g-180
Answer:
g = 380
Step-by-step explanation:
200 = g - 180
You add 180 to both sides
200 + 180 = g
380 = g
Hope that helps!
Please help, test due in 1 hour and it’s a grade. Will give good review and brainliest!
trapezoid, i got the last one wrong
Answer: Trapezoid
Step-by-step explanation:
A trapezoid is a quadrilateral with only one pair of parallel sides; the bases are parallel to each other. The legs don't have to be parallel (they're not).
HELP NEED NOW... Look at picture
Answer:
the answer is 2
Step-by-step explanation:
please help asap !!!!!! Which equation has one solution for x?
Answer:
I think C
Step-by-step explanation:
A has no solution
B has no X
D has infinite solutions
please help! i need help
photo is not clear send clearer image
1 por 3) Jacksons buys a book for $12.85 and spends $5.89 for lunch. How much more did the book cost than lunch? *
Answer:
$6.96 more was the book than the lunch
Step-by-step explanation:
do cost of the book subtract the cost of the lunch forget the decimals and just subtract like normally. then at the end bring down the decimals, hope this helps
the length of a rectangle is represented by 3x-7 and the width by x+4. express the perimeter as a polynomial in simplest form
Answer: 8x - 6
Step-by-step explanation:
Perimeter is found by doing 2l + 2w
The length is 3x - 7 and width is x + 4
2(3x - 7) + 2(x + 4) =
6x - 14 + 2x + 8 =
8x - 6
porfa ayuda:
Dibuja un triángulo isósceles y se divide
su base en 4 partes iguales. Identifica los
triángulos congruentes pintándolos del
mismo color.
Answer:
Ignore los puntos.
Ignore the points.
In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.
Answer:
58.4
Step-by-step explanation:
delta math give up