You borrow $2000 from the bank at 1% annual interest compounded monthly. The monthly payment is $100. What is the balance after the third payment?

Answers

Answer 1

Answer:

The balance after the third payment is $1715.05.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

$a = p(1 + (r)/(n))^(nt)$

We are given that;

Amount= $2000

Rate= 1%

Monthly payment = $100

Now,

Plugging these values into the formula, we get:

A = 2000 (1 + 0.01/12)^(12 * 3/12) A

≈ 2015.05

=2015.05 - 100 * 3

= $1715.05

Therefore, by the given interest the answer will be $1715.05

Learn more about compound interest here:

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Answer 2

Answer:

Answer:

$2.52

Step-by-step explanation:

If you start with the balance being $2000, the monthly payment is $100 with the percentage rate being 1%. You would way 0.84 per month and if you multiply that by three months, you get $2.52.

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Simplify the following expression: 35 + (–13) + (+8) – (–6). A. 36
B. 44
C. 50
D. 24

Answers

A. 36 is the correct answer

Cual es el mcd de 12 y 13

Answers

12 | 13 | | | Mcd: 12×13 Mcd: 156 If u don't understand me please tell me

Solve for d. k = 5(d - 6)

Answers

$5(d-6)=k\ \ \ |use\ distributive\ property:a(b-c)=ab-ac\n\n5d-30=k\ \ \ |add\ 30\ to\ both\ sides\n\n5d=k+30\ \ \ \ |divide\ both\ sides\ by\ 5\n\n\boxed{d=(k+30)/(5)}$

$k = 5(d - 6)$ $\text{Equation}$

$(k)/(5)=d-6$ $\text{Divide both sides by 5}$

$(k)/(5)+6=d$ $\text{Add 6 to both sides}$

$d= (k)/(5)+6$

$d= (k+30)/(5)$ $\text{Multiply the denominator by the whole number}$

$\fbox{Hence Solved}$

Which of these is a simplified form of the equation 9p + 3 = − p + 7 + 2p + 3p?

Answers

add like terms
-1p+7+2p+3p
-1p+2p+3p+7
4p+7

9p+3=4p+7
minus 4p
5p+3=7
minus 3
5p=4
divide 5
p=4/5

Answer:

5p = 4

Step-by-step explanation:

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A scoutmaster bought 35m of rope. He used 4/7 of the rope for knot tying. How many meters of rope were used for knot tying?

Answers

In math...
"of" means ×
"is" means =

We need to find 4/7 of 35

4/7 of 35 = ?
4/7 × 35 = ?
4/7 × 35/1 = 140/7 = 20

He used 20 meters of rope.

Curt just drank a cup of coffee to help him stay awake. The coffee had 130 milligrams of caffeine in it. If his body processes 7% of the caffeine every hour, how much will be left in 4 hours?

Answers

Answer: 97.25 milligrams

Step-by-step explanation:

Given: Curt just drank a cup of coffee to help him stay awake.

The initial amour of caffeine in coffee= 130 milligrams

The rate of decay of caffeine in body = 7%= 0.07

We know that the exponential decay equation with rate r and and time t is given by :-

$f(x)=A(1-r)^t$ , where A is the initial value.

Now, the amount of caffeine left in body after 4 hours is given by :-

$f(4)=130(1-0.07)^4\n\n\Rightarrow\ f(4)=97.2467613\approx97.25\text{ milligrams}$

Hence, after 4 hours 97.25 milligrams will be left.

After 4 hours, his body will have processed 28% because 7*4 = 28. But, you're trying to find what's left (so, subtract that % from 100)

100%-28% = 72%

Then multiply the percent left by the total number of milligrams of caffeine

130*.72 = 93.6 mg

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