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konstantin123 [22]
3 years ago
6

A savings account with a current balance of $5,000 earns 2.75% annual interest, compounded continuously. To the nearest dollar,

what will be the account balance in 10 years?

Mathematics
2 answers:
Anna11 [10]3 years ago
4 0
Use this formula. P=5000, r=0.0275, n=e, t=10

Elena-2011 [213]3 years ago
3 0

Answer:

This is an example of growth because every year, the account earns 2.75% interest.  

To solve this problem I will use the general formula for compound interest.  

A = 5,000(1 + 0.0275/1)^10

A = 5,000(1.312)  

A = $6558  

After ten years, the savings account would have a balance of $6558 due to the 2.75% annual interest.

Step-by-step explanation:

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kykrilka [37]

\cos(2x)  =  \cos(x)

Solution (1)

2x = x + 2k\pi

2x - x = 2k\pi

x = 2k\pi

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

2x =  - x  + 2k\pi

2x + x = 2k\pi

3x = 2k\pi

x =  \frac{2k\pi}{3}

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

6 0
2 years ago
Find A, B, and C<br> 7th Grade Math<br> Please help me answer this
xeze [42]

Answer:

A=124 B=60 and C=60

Hope this helps.

3 0
3 years ago
Elena bought a backpacking tent to take with her on hiking trips.
Masteriza [31]

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

3 0
3 years ago
A circle has a diameter of 5 ft. What is the circumference of the circle? Round to nearest hundreth
yawa3891 [41]

Answer:

15.70

Step-by-step explanation:

5 \times 3.14 = 15.70

5 0
3 years ago
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If four times a number plus 3 is 11, what is the number? a. 4 bm 2 c. 16 d. 5​
goblinko [34]

Answer:

B. 2 (Second Option)

Step-by-step explanation:

Four times: ⇒ 4

Number:⇒  y

4y+3=11

<em>Subtract by 3 both sides of equation.</em>

<em>4y+3-3=11-3</em>

<em>Simplify.</em>

<em>11-3=8</em>

<em>4y=8</em>

<em>Divide by 4 both sides of equation.</em>

<em>4y/4=8/4</em>

<em>SImplify, to find the answer.</em>

<em>8/4=2</em>

<em>y=2 is the correct answer.</em>

<em>2 is the correct answer.</em>

6 0
3 years ago
Read 2 more answers
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