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Virty [35]
2 years ago
12

Jen invested $3500 into a continuously compounded account with an interest rate of 3.1%. After 9 years, how much money is in the

account? Round your answer to the nearest whole number
Mathematics
1 answer:
GarryVolchara [31]2 years ago
7 0

Answer:

≈$4607

Step-by-step explanation:

I will assume it's compounded yearly.

Apply the compound interest formula.

A=P(1+\frac{r}{n})^{nt}

A = Total

P = Initial Principle

r = Interest Rate

n = number of interest in every t period

t = number of periods

In the case,

P = 3500

r = 3.1% = 0.031

n = 1

t = 9

Hence,

A=3500(1+\frac{0.031}{1})^{1*9}

A = 4606.764717......

A ≈ 4607 (nearest whole number)

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Suppose that the world's current oil reserves is R = 1820 billion barrels. If, on average, the total reserves
iVinArrow [24]

Answer:

A. R = -18t + 1,820

B. 1,568 billions of barrels

C. approximately 101.11 years

Step-by-step explanation:

To make our equation, we'll use the form R = mt + b. M represents how many billion barrels of oil are being lost each year, which we know is 18 billion. So -18 will be our m. B is how many total barrels of oil there are, which is 1,820. So 1,820 will be our b. Now the equation looks like this:

R = -18t + 1,820

We can use this equation to answer Part B.

Replace the t with 14:

R = -18(14) + 1,820

Now solve for R:

R = -18(14) + 1,820

R = -252 + 1,820

R = 1,568

14 years from now, there will be 1,568 billions of barrels left.

To solve part C, we need to find how many years it will take for all of the oil to be used up. After it's all used up, the total amount of oil will be 0, so we can replace R with 0 and then solve for t:

0 = -18t + 1,820

Subtract 1,820 from both sides to isolate -18t:

0 - 1,820 = -18t + 1,820 - 1,820

-1,820 = -18t

Divide both sides by -18 to isolate the t:

-1,820/-18 = -18t/-18

101.11 = t

After approximately 101.11 years, all of the oil will be used up.

3 0
2 years ago
HELP…this is probably easy…but still help.
andreev551 [17]

Answer:

A) The parallelogram is a rhombus

Step-by-step explanation:

A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.

4 0
2 years ago
How many triangles can be formed with the angle measures: 20, 70, and 90 degrees?
sveta [45]

Answer:

A right triangle with degrees 20, 70, 90.

Step-by-step explanation:

6 0
2 years ago
Which equation can be used to solve for x in the following diagram ?
Sliva [168]
C 35+5x=90
5x=90-35
x=55/5
x=11
Hope this helped
4 0
3 years ago
Question 3 of 8. Step 1 of 1
natali 33 [55]

308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.

<h3><u>Combination</u></h3>

Since a dairy needs 385 gallons of milk containing 6% butterfat, to determine how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired 385 gallons, the following calculation must be performed:

  • 385 x 0.06 = 23.1
  • 300 x 0.07 + 85 x 0.02 = 22.7
  • 310 x 0.07 + 75 x 0.02 = 23.2
  • 308 x 0.07 + 77 x 0.02 = 23.1

Therefore, 308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.

Learn more about combination in brainly.com/question/27339616

#SPJ1

4 0
1 year ago
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