Answer:
17
Step-by-step explanation:
We have the following equation for compounding annual interest
AV=PV(1+i)ⁿ
We have
19200=7400(1+.06)ⁿ
Solve for n
divide both sides by 7400
2.594=(1.06)ⁿ
then use the following rule for exponents
[tex]x^y=z\\log_xz=y[/tex]
which means that
[tex]log_{1.06}2.594=n[/tex]
Solve and get
16.362
which rounds to 17
PLEASE HELP ASAP, MARKING BRAINLIEST!!!
A walking path around the outside of the garden is shaped like a triangle. Two sides of the past that measure 32 ft and 39 feet form a 70 degree angle. If you walk around the entire path one time, how far have you walked?
please explain how to do this
Answer:
27.4
Step-by-step explanation:
Use your calculator for this.
Remember, use SOH CAH TOA
We have an opposite (O) and an adjacent side (A), so we use SINE
sin(41)=18/X......following?
Now, solve for X by multiplying both sides by X......sin(41)(X)=18
Then, divide both sides by sin(41).
Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!
Answer:
x = 11.8
Step-by-step explanation:
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ sine 41 = [tex]\frac{18}{x}[/tex]
⇒ 0.656 = [tex]\frac{18}{x}[/tex]
multiply 18 on both sides:
⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18
⇒ 11.808 = x
round to the nearest tenth:
⇒ 11.808 = 11.8
solve using the box method
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Just SIMPLIFY the given EQUATION or find the DIFFERENCE}\\\large\text{OF the SQUARES... Here is the formula: }\mathsf{\bf a^2 - b^2 =(a+b)(a-b)}[/tex]
[tex]\large\text{Equation: }\mathsf{\dfrac{(4x^2-9)}{(2x + 3)}}[/tex]
[tex]\large\text{Rewrite }\mathsf{ 4x^9 - 9}\large\text{ in the formation of }\mathsf{a^2 - b^2}\large\text{ whereas}\mathsf{a = 2x \ \&\ b = 3.}[/tex]
[tex]\large\text{Equation: }\mathsf{\dfrac{(2x)^2-3^2}{2x + 3}}[/tex]
[tex]\large\text{This is where you try to do the DIFFERENCE OF its SQUARES}[/tex]
[tex]\mathsf{\dfrac{(2x + 3)(2x - 3)}{2x + 3}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{(2x + 3)\ - (2x +3)}\large\text{ because it gives you 0}[/tex]
[tex]\large\text{This leaves us with }\mathsf{\bf 2x - 3}\large\text{ as your POSSIBLE ANSWER}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 2x - 3}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\large\text{Note: There is/are many ways to solve for equations like this.... this was just}\\\large\text{the quickest and easiest way to understand it!}[/tex]
can some one please help me with thissss if you don't mind
what is the slope in this equation y=10+3x
Answer:
the slope is 3
Step-by-step explanation:
A rectangular garden has a walkway around it. The area of the garden is 6(5.5x + 2.5). The
combined area of the garden and the walkway is 7.5(8x +4). Find the area of the walkway around
the garden as the sum of two terms.
Answer:The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
A rectangular garden has a walkway around it
1. The area of the garden is 4(4.5 x + 1.5)
2. The combined area of the garden and the walkway is 5.5(8 x + 4)
We need to find the area of the the walkway
To find the area of the walkway by subtracting the area of the
rectangle from the combined area
∵ The combined area = 5.5(8 x + 4) ⇒ simplify it
∴ The combined area = 5.5(8 x) + 5.5(4)
∴ The combined area = 44 x + 22
∵ The area of the garden = 4(4.5 x + 1.5) ⇒ simplify it
∴ The area of the garden = 4(4.5 x) + 4(1.5)
∴ The area of the garden = 18 x + 6
Now subtract the area of the garden from the combined area
∵ Area of the walkway = (44 x + 22) - (18 x + 6)
∴ Area of the walkway = 44x + 22 - 18 x - 6
- Add like terms
∴ Area of the walkway = (44 x - 18 x) + (22 - 6)
∴ Area of the walkway = 26 x + 16
The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
Please answer this ASAP!!!
Answer:
a) (tri)ABC ~ (tri)CDE
b) AA
Step-by-step explanation:
a) Given in the question (the triangles are similar)
b) AA similarity is found by the vertical angle at <ACB and <DCE and the marked angles at <D and <A.
Lea is making a mosaic picture that is 3/4 foot tall and 11/12 foot wide what is the area of her mosaic
Answer:
First, 3x11 equals 33. Then 4x12 equals 48, so the area would be 4/12
Step-by-step explanation:
can anyone help? im a lil lost
Answer:
So they just want you to solve the equation if x= -4
d(-4) = -(-4) + -4
y = 4 - 4
The solution would be 0.
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=10°, and EF = 94 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
x=\frac{94}{\sin 10}=541.3244\approx 541.3\text{ feet}
x=
sin10
94
=541.3244≈541.3 feet
Step-by-step explanation:
5 gallons 2 quarts − 1 gallon 3 quarts = ?
Answer:
3.75 Us gallon
Step-by-step explanation:
(5 US gallons 2 US quarts) - (1 US gallon 3 US quarts) =
The table shows the number of miles that a car travels and the gallons of gasoline it uses to go those distances.
Number of Miles Gallons of Gasoline
115 5
230 10
345 15
How do the unit rates of miles per gallon compare for these two vehicles?
The van travels the same number of miles per gallon as the car.
The van travels 23 more miles per gallon than the car.
The van travels 5 more miles per gallon than the car.
The car travels 5 more miles per gallon than the van.
Answer:
4 -.-
Step-by-step explanation:
The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?
Seven less than the product of a number n and
1
is no more than 95.
4.
Fill in the boxes.
In 17
95
102
n
Answer:
(n-7) ≤ 95
Step-by-step explanation:
We need to write the expression for the given statement.
Seven less than the product of a number n and 1 means (n-7).
It is no more than 95. No more than 95 means less than or equal to i.e.
(n-7) ≤ 95
Hence, the above inequality shows the given statement.
The function g(x) = f(x + 1) + 6. Which of the following is true about the graph of g(x).
Answer:
You need to show us the options
Step-by-step explanation:
Answer:
what’s the anwser?
Step-by-step explanation:
find the expected value of a random variable with the following probability distribution :
2
3
4
5
6
7
8
9
10
11
12
———
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
Answer:
7
Step-by-step explanation:
correct with acellus
The expected value of a random variable with the following probability distribution will be 7.
How to calculate the expectation of a discrete random variable?Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.
Thus, if the random variable is X, and its probability mass function is given being f(x) = P(X = x), then we have:
[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]
[tex]\rm E(X)=2 \times \frac{1}{36} +3 \times \frac{1}{28} +4 \times \frac{1}{12} +5 \times \frac{1}{9} +6 \times \frac{5}{36} + 7 \times \frac{1}{6} +8 \times \frac{5}{36}+9 \times \frac{1}{9} +10 \times \frac{1}{12} +11 \times \frac{1}{18} +12 \times \frac{1}{36} \\\\ E(X)=7[/tex]
Hence the expected value of a random variable will be 7.
To learn more about the expected value refer to the link:
https://brainly.com/question/4515179
What is the solution to the equation below? Round your answer to two
decimal places.
4 + 9•In x= 15.8
A. x = 3.56
B. x= 0.27
C. x = 3.71
D. x = 2.09
Answer:
C. x = 3.71
Step-by-step explanation:
4 + 9(ln x) = 15.8
Subtract 4 from both sides.
9(ln x) = 11.8
Divide both sides by 9.
ln x = 11.8/9
x = e^(11.8/9)
x = 3.71
4 + 9 • In x = 15.8
x= 3.71
ASAP PLEASE HELP ME !!!!
Answer:
90 mallards
Step-by-step explanation:
No. of ducks = 200
Mallards = 45%
45% of 200 = 45/100 × 200
=90
Which is the most expensive piece of meat? A. 8 ounces for $5.00 B. 16 ounces for $4.00 C. 6 ounces for $15.00 D. 12 ounces for $10.00
Answer:
C.
Step-by-step explanation:
A. 5/8=0.625
B. 4/16=0.25
C. 15/6=2.5
D. 10/12=0.83
Joanna plans to completely cover a large soup can, including the top and bottom, with black paper. The diameter of the can is 6 in. and the height is 5 in. Which is a reasonable estimate for the number of square inches of paper that Joanna will need to cover the can? Select one: O 151 square inches
O 141 square inches
O 101 square inches
O 1,319 square inches
Answer:
141 square incges
Step-by-step explanation:
Answer:
The answer is 141 sq inch.
Am smort :D
Is this correct? I'm not sure ;-;
Answer: 130.5
Step-by-step explanation:
108.75/15 = 7.25
18 x 7.25 = 130.5
Answer: Yup
Step-by-step explanation
Good job!
1.
(2-4)² x 2-5
Which of these is equivalent to
- ?
2-6
A.
2-19
B.
1
27
N/ - /
1
2
C.
D.
23
Answer:
add me
Step-by-step explanation:
Please help Divide: 0.52/4.42
this is karma for spamming random stuff on peoples questions if you want people to help you dont go trying to get free points by commenting jr3nfrhgvberhvrucv
What is the x-intercept for the equation: 3x + by = 18? *
4(y+2)-y= 2(y-1) +9
What does y equal
☁️ y = -1 ☁️
Hope it helps.
Explanation: Have a nice day!~ ￣▽￣❤️
Help me please with this math question
help please i got the last part but not the others
can yall pls help wit this pls asap
i will mark you brainliest if u are correct first
Answer: 4955.30
Step-by-step explanation:
F = P (1+i)^n
F = $4000 (1+.055)^4
F = $4955.2986
Which will be 4955.30
Answer:
A. $4955.30
Step-by-step explanation:
Look at the equation
A(t)= P(1+r)^t
In this equation,
A(t) is your amount after a period of time,
P is the initial balance stated in the question (4000)
r is the rate (must be converted to a decimal) as stated in the question (0.055)
t represents the amount of time that has passed (4 years)
Whenever you plug this into the equation, you get
A(t) = 4000(1.055)^4 and this can be plugged into a calculator to get your answer which will be
4955.29 (round up to .3) and your final answer is A. 4995.30
In order to convert from percent to decimal you just need to move the decimal to the left two places
5.5 becomes 0.055 after the decimal is shifted
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A line segment ACD is shown with triangle ABC drawn so that AC is the base of the triangle. Angle BAC is labeled with 72 degree sign, and angle BCD is labeled with 113 degree sign. Write a list of steps that are needed to find the measure of ∠ B .
Answer:
32 A becuz ur h a y and u are smart
Simplify the Expression
2(x +14) - (2x - 5)
your answer would be 33.
step 1
2(+14)−1(2−5)
2+28−1(2−5)
step 2 distribute
2+28−1(2−5)
2+28−2+5
step 3 then add the numbers
2+28−2+5
2+33−2
combine
2+33−2
ANSWER IS
33