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3 years ago

7

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

n x° and cos y° share?

1 answer:

postnew [5]3 years ago

3 0

Step-by-step explanation:

sinx=5/13

cosy=5/13

RELATIONSHIP

they are equal to one another

OR

sinx=cosy

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em> = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em> = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em> = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0

3 years ago

You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment

Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, A = 50,000 × $(1+\dfrac{\textrm 7}{100})^{\textrm 20}$

or, A = 50,000 × $(1.07)^{20}$

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ $\frac{193480}{240}$ = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

3 0

3 years ago

A shirt is marked down 20% off the original price. If the original price was $24.00, what is the sale price of the shirt before

Marizza181 [45]

Answer:$19.20

Step-by-step explanation:

8 0

3 years ago

NEED HELP NOW 25 POINTS!!!!!!!

AysviL [449]

70 degrees, hope this helped.

4 0

4 years ago

sales representative can take one of 4 different routes from City B to City E and any one of 4 different routes from City E to C

mrs_skeptik [129]

Answer:

16

Step-by-step explanation:

4 x 4 = 16 because you have to go through city E

5 0

2 years ago