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Anvisha [2.4K]
3 years ago
8

You are saving for a bicycle that costs $120. You Deposit $75 in an account that earns compounded annually. The Expression 75(1+

r)^2 represents the balance after 2 years the annual interest rate in decimal form.
A. Write a polynomial that represents the balance of your account.
B. What is the balance of your account when the interest rate is 10%.
C. How much more money do you need to buy the bicycle?
Mathematics
1 answer:
dezoksy [38]3 years ago
8 0
A. Expanding the given expression, you have
  balance = 75r^2 +150r +75

B. For r=0.10, the balance after 2 years is 75*1.1^2 = 90.75

C. The difference between $120 and 90.75 is $29.25. You need $29.25 more to buy the bicycle.
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The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The manager could achieve scalar multiplication on Matrix A, utilizing the scalar 1.15.

<h3>What is the matrix?</h3>

The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The numbers exist named the elements, or entries, of the matrix. Matrices contain wide applications in engineering, physics, economics, and statistics as well as in different branches of mathematics.

Increasing the price by 15% would mean we exist taking 100% of the value + another 15%

100 + 15 = 115%

115% = 115/100 = 1.15.

Multiplying every value in Matrix A by 1.15 will give the price raised by 15%.

Therefore, the correct answer is option c. by multiplying each entry of matrix a by 1.15.

To learn more about matrix refer to:

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2 years ago
A paint company claims their paint will be completely dry within 45 minutes after application. Recently, customers have complain
Angelina_Jolie [31]

Answer:

The probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026

Step-by-step explanation:

Mean = \mu = 45

Population standard deviation =\sigma = 6

Sample size = n =25

Sample mean = \bar{x} = 52

We are supposed to find  the probability of observing a sample mean of x = 52 or greater from a sample size of 25 i.e.P(x\geq 52)

Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{52-45}{\frac{6}{\sqrt{25}}}

Z=5.83

P(Z<52)=0.9999974

P(Z\geq 52)=1-P(z

Hence  the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026

3 0
3 years ago
Elise bought a dress that was discounted 35% off of
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Answer:

a: $49

b: $91

Explaination:

a: 35% of 140 = 49

b: 140 - 49 = 91

You're welcome! <3

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3 years ago
How do the 2s in 12.5 and 0.912 compare?
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Answer:

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Step-by-step explanation:

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3 years ago
Consider triangle abc what is the value of y in the triangle
Yakvenalex [24]

Answer:

y = 50

Step-by-step explanation:

All triangle angles add up to 180 degrees.

To set this equation up, you need to add everything given in the triangle and set it equal to 180:

y + y + 80 = 180

<em><u>Add like terms:</u></em>

2y + 80 = 180

<u><em>Subtract 80 from both sides:</em></u>

2y + 80 = 180

     - 80   - 80

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2y = 100

<u><em>Divide both sides by 2:</em></u>

y = 50

<u><em>If you're unsure, you can plug in the 50 for y:</em></u>

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100 + 80 = 180

180 = 180

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3 years ago
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