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Liula [17]
4 years ago
7

You invest $1500 in a bank account that has a 3% annual interest rate, compounded continuously. How much will you have in 15 yea

rs?

Mathematics
1 answer:
Mandarinka [93]4 years ago
8 0
We use the formula:
Total = Principal * e ^ (rate * years)
Total = 1,500 * e ^ (.03 * 15)
Total = 1,500 * e ^ .45
Total = 1,500 * <span> <span> <span> 1.5683121854 </span> </span> </span>
Total = <span> <span> <span> 2,352.47 </span> </span> </span>


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A new car that sells for $18.000 depreciates at a rate of 25% per year. Find the value of the car after 4 years ?
Rom4ik [11]

Answer:

After 4 years, the value of the car would be of $5695.31.

Step-by-step explanation:

The formula for compound interest works perfectly in this case:

a = p {(1 +  \frac{r}{n} )}^{nt}

As in this case the repetitions per annum are just 1 (yearly), we can ignore the n.

Replacing variables with our values, a yields the depreciated value:

a = 18000 {(1 - 0.25)}^{4}  \\ a = 18000 {(0.75)}^{4}  \\ a = 18000(0.31640625) \\ a = 5,695.3125 = 5695.31

4 0
3 years ago
2y+7=19
Hunter-Best [27]

Answer:

first you move the 7 o vs. we by subtracting it from each side. then to divide by 2 to get your y.

4 0
3 years ago
Mrs. Garcia is making bread using a total of 400 grams of gluten-free flour. The recipe calls
goldfiish [28.3K]

Answer:

280 grams of almond flour.

Step-by-step explanation:

She needs 70% of the flour to be almond flour

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7 0
3 years ago
A shoe box is 10 inches long and 6 inches wide. It is 3 inches tall. Sage is wrapping the shoe box and determined that she needs
muminat

Answer: 360\ in^2

Step-by-step explanation:

For this exercise you need to use the folllowing formula for calculate the Surface area of a Rectangular prism:

SA = 2wl + 2lh + 2hw

Where "l" is the length, "w" is the width and "h" is the height of the prism.

In this case you can identify that:

l=10\ in\\\\w=6\ in\\\\h=3\ in

Therefore, substituting values, you get that the surface area of the shoe box is:

SA = 2(6\ in)(10\ in) + 2(10\ in)(3\ in) + 2(10\ in)(6\ in)\\\\SA=300\ in^2

The 20% of this surface area is:

(300\ in^2)(0.20)=60\ in^2

Since she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap, you get that total amount of square inches of gift wrap that she needs is:

Total=300\ in^2+60\ in^2=360\ in^2

7 0
3 years ago
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