In the garden the total number of pepper plants is 15 and the total number of tomato plants

Usimov [2.4K]

Answer:

$r\approx0.03\text{ or about $3\%$}$

Step-by-step explanation:

The standard compound interest formula is given by:

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

Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.

Since we are compounding annually, n=1. Therefore:

$\displaystyle A = P (1+r)^{t}$

Lester wants to invest $10,000. So, P=10,000.

He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.

And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:

$11000=10000(1+r)^{3.3}$

Let’s solve for our rate r.

Divide both sides by 10000:

$1.1=(1+r)^{3.3}$

We can raise both sides to 1/3.3. So:

$\displaystyle (1.1)^\frac{1}{3.3}=((1+r)^{3.3})^\frac{1}{3.3}$

The right side will cancel:

$\displaystyle r+1=(1.1)^\frac{1}{3.3}$

So:

$\displaystyle r=(1.1)^\frac{1}{3.3}-1$

Use a calculator:

$r\approx0.03$

So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.

5 0

3 years ago

Question: Carbon-11 has a half-life of about 20 minutes. If we start with 200 grams, how

irakobra [83]

Answer:

C). 0.39 grams

Step-by-step explanation:

First find how many half-lifes are in 3 hours:

3 hours ÷ 20 minutes = 9 half-lifes

Find the total left:

0.5^9*200 ≈ 0.39

3 0

3 years ago

Rewrite the equation by completing the square.

kkurt [141]

Step-by-step explanation:

.

..1

1

2

3

34

4

45

5

56

6

5i d

s

6

5 0

3 years ago

If 9 people had a some pizza and there was 2 boxes how many pizzas was left

Afina-wow [57]

They are 18 pizzas left

8 0

4 years ago

A credit card company charges 18% simple interest for overdue accounts. How much interest will Kristen owe three months from now

Ber [7]

Answer: The amount that Kristen would owe three months from now is $67.5

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or the current balance.

R represents interest rate

T represents the duration for which the account is overdue in years.

From the information given,

P = 1500

R = 18%

T = 3 months = 3/12 = 0.25 year

I = (1500 × 18 × 0.25)/100 = $67.5

4 0

4 years ago