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Tems11 [23]
2 years ago
6

Kristen just deposited $6,500 into a new bank account that pays 4.5% interest the first year and 3% compounded annually each yea

r after that. If there is no other activity in the account, how much money will there be in two years ? PLEASE BRAKE DOWN THE PROBLEM!
Mathematics
2 answers:
vladimir2022 [97]2 years ago
6 0

This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.

You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.

Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:

$6,500 × 0.1 = $650

If this amount were added to the original amount each year for two years, the total would be:

$6,500 + $650 + $650 = $6,500 + $1,300 = $7,800

This is an over-estimate for the information given, and since choices C and D are even greater than this over-estimate, they can be eliminated. That means choice B is the correct answer.

jolli1 [7]2 years ago
6 0

B is the correct answer.


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A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al
ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

A=\dfrac{1}{2}\times base\times height

In a right angle triangle, the area of the triangle is

A=\dfrac{1}{2}\times leg_1\times leg_2

Putting A=18 and leg_1=6, we get

18=\dfrac{1}{2}\times 6\times leg_2

18=3\times leg_2

Divide both sides by 3.

\dfrac{18}{3}=leg_2

6=leg_2

Both legs are equal so the given triangle is an isosceles right triangle.

If the triangle is not isosceles triangle, then the length of legs are factors of 36 because half of 36 is 18.

Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

5 0
2 years ago
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-
Tema [17]

Answer:

gregefdsgdsfgdfdgddg

Step-by-step explanation:

8 0
2 years ago
Pleasssseeee hellllpllllllppppp???????
olchik [2.2K]

Answer:

f(x) and g(x) are inverse functions

Step-by-step explanation:

In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then

f(x) and g(x) are inverse functions

Let us use this rule to solve the question

∵ f(x) = 3x²

∵ g(x) = \sqrt{\frac{x}{3}}

→ Find f(g(x)) by substitute x in f(x) by g(x)

∴ f(g(x)) = 3(\sqrt{\frac{x}{3}})²

→ Cancel the square root with power 2

∴ f(g(x)) = 3(\frac{x}{3})

→ Cancel the 3 up with the 3 down

∴ f(g(x)) = x

→ Find g(f(x)) by substitute x in g(x) by f(x)

∴ g(f(x)) = \sqrt{\frac{3x^{2}}{3}}

→ Cancel the 3 up with the 3 down

∴ g(f(x)) = \sqrt{x^{2}}

→ Cancel the square root with power 2

∴ g(f(x)) = x

∵ f(g(x)) = g(f(x)) = x

→ By using the rule above

∴ f(x) and g(x) are inverse functions

5 0
2 years ago
On the number line above, points J, K, L, and M are integers, and JK:KL:KM = 2:1:3. What is the value of KM? number line shown b
Rama09 [41]

Answer:

<h2>F. 12</h2>

Step-by-step explanation:

The distance between A and M i.e JM = M - J = 5-(-19)

JM = 5+19

JM = 24

If JK:KL:KM = 2:1:3

The total ratio = 2+1+3

Total ratio = 6

Dividing each length based on ratio

length JK = 2/6 * JM

JK = 1/3 * 24

JK = 8

length KL = 1/6 * JM

KL = 1/6 * 24

KL = 4

length KM = 3/6 * JM

KM = 1/2 * 24

KM = 12

<em>Hence the value of KM is 12</em>

3 0
2 years ago
A student takes an exam containing 1818 true or false questions. If the student guesses, what is the probability that he will ge
creativ13 [48]

Probability

p=66×100/1818=3.6303630363%

After rounding to 4 decimals:

p=3.6304%

8 0
2 years ago
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