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Rzqust [24]
2 years ago
7

A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^

{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Mathematics
1 answer:
Tomtit [17]2 years ago
8 0

Answer:

<h2> $430.90</h2>

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

V = Pe^{rt}

We have

V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90

Hence after 18years the money in the account will be $430.90

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Connor borrows $8,000 at a rate of 19% interest per year. What is the amount due at the end of 7 years if the interest is compou
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Answer:

Step-by-step explanation:

30,248.35

7 0
11 months ago
The blueprint of a pool has a scale of 2 inches equals 7 feet. The scale drawing is shown below. the length is 20 and the width
AlladinOne [14]

Answer:

Part A:

Blueprint 10 inches ⇒ Actual 35 feet

Blueprint 20 inches ⇒ Actual 70 feet

Part B:

The cost of the cover is $857.5

Step-by-step explanation:

Part A:

∵ The drawing scale is 2 inches for 7 feet

∵ The length = 20 inches and the width = 10 inches

∴ The actual length = (20 × 7) ÷ 2 = 70 feet

∴ The actual width = (10 × 7) ÷ 2 = 35 feet

Part B:

∵ The cost per square foot = $0.35

∵ The area of the pool = 70 × 35 = 2450 feet ²

∴ The cost of the cover = 2450 × 0.35 = $857.5

8 0
2 years ago
I’m getting 9.8 not sure what I’m doing wrong
Afina-wow [57]

Answer: 10

Step-by-step explanation:

it says round to nearest 10 your answer was 9.8 so round to 10.

hope this helps :)

7 0
2 years ago
In the isosceles triangle ABC, we have AB=AC=4. The altitude from B meets AC at H. If AH=3(HC) then determine BC.
Inga [223]

Answer:

BC=√7

Step-by-step explanation:

AC=4

AC=AH+HC

=3HC+HC

=4HC

HC=1/4AC=1/4×4=1

AH=3HC=3×1=3

BH⊥ AC

AB=AC=4

BC=\sqrt{AB^2-AH^2} =\sqrt{4^2-3^2} =\sqrt{16-9} =\sqrt{7}

5 0
2 years ago
The cafe where you work just ran out of coffee and you are at the store to buy 1 and 1/2 pounds of coffee you have to put a can
ElenaW [278]

Answer:

3/4 lbs more

Step-by-step explanation:

1 1/2 - 3/4 = 3/4

You need 3/4 lbs more coffee to have 1 1/2 lbs

5 0
2 years ago
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