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Varvara68 [4.7K]
3 years ago
14

opened a savings account and deposited $1,000.00. The account earns 9% interest, compounded continuously. If he wants to use the

money to buy a new bicycle in 1 year, how much will he be able to spend on the bike? Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years. Round your answer to the nearest cent.
Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer: $1094.17

Step-by-step explanation:

Amount = Pe^rt

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Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.
alekssr [168]

Answer:  The expressions for the length and width of the new patio are

\ell=x+4,~~w=x-4.

And the area of the new patio is 384 sq. feet.

Step-by-step explanation:  Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

The length of one side of the square patio is represented by x.

We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.

Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

w=(x-4)~\textup{feet}.

The length of the patio is increased by 4 feet, so the length of the new patio will be

\ell=(x+4)~\textup{feet}.

Now, if the original patio measures 20 feet by 20 feet, then we must have

w=x-4=20-4=16~\textup{feet}

and

\ell=x+4=20+4=24~\textup{feet}.

Therefore, the area of the new patio is given by

A_n=\ell \times w=24\times16=384~\textup{sq. feet}.

Thus, the expressions for the length and width of the new patio are

\ell=x+4,~~w=x-4.

And the area of the new patio is 384 sq. feet.

4 0
3 years ago
(1 p 18. Demarcus drew a pair of complementary angles. He drew one angle that had a measure of 48º. What was the measure of the
Hoochie [10]

Answer: 42

Step-by-step explanation:

Complementary angles are angles in which the sums equal 90.

90 - 48 = 42.

4 0
3 years ago
Read 2 more answers
Which strategy would not correctly solve this story problem? Luke buys a muffin and glass of juice each Monday for breakfast. Ea
svetlana [45]

Answer:

The answer is D.

Step-by-step explanation:

Each Monday, Luke spends $5 ($3 for the muffin, $2 for the juice). To figure out how much he spends in 6 weeks, you multiply $5 by 6. Hope this helps! :)

5 0
3 years ago
A large Pizza has a diameter of 18 inches. If each large pizza is cut into 10 equal slices, what is the approximate area of 3 sl
Brums [2.3K]
--------------------------------------
Find Radius
--------------------------------------
Radius = Diameter ÷ 2
Radius = 18 ÷ 2
Radius = 9 inches

--------------------------------------
Area of the Pizza
--------------------------------------
Area = πr²
Area = π x (9)²
Area = 81π
Area = 254.47 in² (nearest hundredth)

--------------------------------------
find area of 1 slice of pizza
--------------------------------------
10 slices = 254.47 in²
1 slice = 254.47 ÷ 10
1 slice = 25.44 in² 

--------------------------------------
Find area of 3 slices of pizza
--------------------------------------
1 slice = 25.44 in²
3 slices = 25.44 x 3 
3 slices = 766.32 in²

--------------------------------------
Answer: 766.32 in²
--------------------------------------
3 0
3 years ago
Central Park is shaped like a rectangle. Two diagonally-opposite corners of the park are located at (-9,7) and (4,-3) on the coo
Softa [21]
The distance between the abscissas (x-coordinates) of the points is equal to 13. That of the ordinates (y-coordinates) is equal to 10. Thus, the area is obtained by multiplying these values. The answer is equal to 130 units squared. 
3 0
3 years ago
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