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Darina [25.2K]
3 years ago
9

Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn, d

etermine how much would be in the account after 3 years.
$1,847.12
$2,249.73
$7,432.62
$7,876.25
Mathematics
1 answer:
slamgirl [31]3 years ago
6 0
Hi there! Based off of the answer choices, I think this has to do with compound interest. The formula for compound interest is P(1 + r)^t. P = principal (initial amount), r = rate (percentage), and t = time (years). The rate is 4%. 4% is 0.04 in decimal form. Add 1 to that number in order to get 1.04. Now, raise that decimal to the 3rd power, because that is being compounded annually and it is being compound 3 times, because three years will have passed. 1.04³  is 1.124864. Don't delete that decimal or round. Now, multiply that number by the principal, which is 2,000. When you do that, you get 2,249.728 or 2,249.73 when rounded to the nearest hundredth. If no money is withdrawn, there will be $2,249.73 in 3 years. The answer is B.

Note: For the formula, you just follow the order of operations. In order words, convert the rate into decimal form, add 1 to it, then raise it to the power, based on the number of years. Don't delete the decimal from the calculator or round. Multiply that decimal by the principal to get your answer. You always solve compound interest questions like these with that formula. There is something extra that applies on some occasions, but we don't need it for this problem.
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Mai is flying a plane at an altitude of 1600 ft. She sights a stadium at an angle of
LekaFEV [45]

Answer:

2,789ft

Step-by-step explanation:

The set up will give a right angled triangle.

The altitude will be the opposite side = 1600 ft

The angle of depression = 35°

approximate direct distance to the stadium is the hypotenuse of the trisngle= x

Using the SOH trig identity to get the distance

sin 35 = opp/hyp

sin 35 = 1600/x

x = 1600/sin35

x = 1600/0.5736

x = 2,789.4ft

Hence mai’s approximate direct distance to the stadium is 2,789ft

4 0
3 years ago
If 3x plus 2 equals 90 then what is the value of x
Firdavs [7]

Hello!

3x+2=90

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 2 from both sides of the equation.

3x+2-2=90-2

Simplify

3x=88

Then you divide by 3 from both sides of the equation.

\frac{3x}{3}=\frac{88}{3}

Simplify it should be the correct answer.

x=\frac{88}{3}

Answer⇒⇒⇒⇒⇒x=88/3

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

4 0
4 years ago
I need a little help. (The question is on the screenshot by the way)
vagabundo [1.1K]

Answer:

45

Step-by-step explanation:

the answer iud D

7 0
3 years ago
Read 2 more answers
Please help me yall
allochka39001 [22]
The coordinates of D is (3,-1) i’m pretty sure if not i’m sorry.
3 0
3 years ago
Can someone answer it
Troyanec [42]
Answer what? This question? Oh, I'm answering it right now. Did you have another question out? Well, I can't see it. 
3 0
4 years ago
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