Tyler took out a loan at a 14.7% APR, compounded monthly, to buy a boat,and he is making monthly payments to pay off the loan. Which of these
interest rates would have allowed Tyler to pay off the loan faster?
O
A. 15.6%, compounded monthly
O
B. 14.4%, compounded monthly
O
c. 16.2%, compounded monthly
O
D. 15.0%, compounded a monthly

Answers

Answer 1

Answer:

Answer: 14.4%

Step-by-step explanation:

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What is 31=6.2 times y?please show your work and find what y equals, thanks!

The recommended daily amount of vitamin C for children 9 to 13 years old is 45 mg. A serving of a juice drink contains 60% of the recommended amount. How much vitamin C does the juice drink contain?THE BEST ANSWER WOULD GET 20 POINTS

Answers

Answer:

The juice drink contains 27mg of vitamin C.

Step-by-step explanation:

Since the recommended daily amount of vitamin C for children 9 to 13 years old is 45 mg, and a serving of a juice drink contains 60% of the recommended amount, in order to know how much vitamin C does it contain we have to do the following calculation:

45 / 100 x 60 = Vitamin C contained by the juice drink

0.45 x 60 = Vitamin C contained by the juice drink

27 = Vitamin C contained by the juice drink

The juice drink contains 27mg of vitamin C.

So basically, you have to find 60% of 45. You do this by multiplying 45 and 0.6. 0.6 because you have to move the decimal point twice. after multiplying, you would get an answer of 27 and the answer is 27 mg

Need help!! i will give you brainliest. no plagiarism please.. Nick has designed a diamond-shaped kite as shown below. The measures of some sides of the kite are marked in the figure. Find the value of x. (JUSTIFY)

show your work.

Answers

Answer:

The value of x is approximately 3.5 inches.

Step-by-step explanation:

Given:

Side OC = 5 in

Side DC = 7 in

side OP = x

We need to find the value of x.

Solution:

Now In Δ COD;

m∠COD = 90°⇒(Given in the figure)

So by using Pythagoras theorem we get;

$OD^2+OC^2 = DC^2\n\nOD^2 = DC^2-OC^2$

Substituting the values we get;

$OD^2= 7^2-5^2\n\nOD^2=49-25\n\nOD^2= 24$

Now Squaring on both sides we get;

$√(OD^2) =√(24) \n\nOD\approx 4.90\ in.$

Now $Sin\theta= \frac{\textrm{Opposite side}}{\textrm{Hypotenuse}}$

Sin D = $(Side\ OC)/(Side\ DC)$

So, Sin D = $(5)/(7)$ ⇒ equation 1

Now In Δ DPO;

m∠DPO = 90°⇒(Given in the figure)

Also Now $Sin\theta= \frac{\textrm{Opposite side}}{\textrm{Hypotenuse}}$

Sin D = $(Side\ DP)/(Side\ OD)$

So, Sin D = $(x)/(4.9)$ ⇒ equation 2

Hence we can Left hand side of equation 1 and equation 2 are same;

So we can say that Right hand side will be equal too.

Hence equation can be framed as;

$(x)/(4.9) = (5)/(7)\n\nx = (5)/(7) * 4.9\n\nx\approx 3.5\ in$

Hence, The value of x is approximately 3.5 inches.

Can u guys help me outExamine the polynomial p(x)=6x^3+17x^2−24x−35

Use the Factor Theorem to identify which binomial is a factor of p(x).

a.3x+5

b.2x+7

c.x−1

d.2x−7

Answers

Answer:

Option B, 2x + 7

Step-by-step explanation:

Step 1: Factor

p(x) = 6x^3 + 17x^2 − 24x − 35

p(x) = (x + 1)(3x - 5)(2x + 7)

Answer: Option B, 2x + 7

What is 4,00 300 20 9 in standard form

Answers

4 x 10 8. Small 8 rooted. I think

4,000 300 20 and 9 in standard form will be 4,329

How many 4/5 cup servings are in 4/9 of a cup of yogurt

Answers

Answer:

$(5)/(9)$

Step-by-step explanation:

Unit rate is defined as the rate are expressed as a quantity as 1 such as 3 meter per second or 4 miles per hour.

As per the statement:

4/5 cup servings are in 4/9 of a cup of yogurt

then by definition of unit rate:

$\text{Unit rate per cup} = ((4)/(9) )/((4)/(5) ) = (4)/(9) * (5)/(4)$

Simplify:

$\text{Unit rate per cup} = (5)/(9) \text{Yogurt}$

therefore, 4/5 cup servings are in 4/9 of a cup of yogurt is, $(5)/(9)$ cup of yogurt

For this question, you need to understand how to divide fractions.First we line up our fractions appropriately:
4/9 ÷ 4/5 = ? (You want to divide 4/9 by 4/5)
4/9 × 5/4 = ? (Now we use the reciprocal of 4/5 and multiply instead of divide)
4 x 5 = 20 and 9 x 4 = 36. (Cross multiply.)
20/36 = 5/9. (Simplify to lowest terms.)
So, 4/9 divided by 4/5 is 5/9!But 5/9 is more than 4/9, so the answer is 0 :PCorrect me if I'm wrong.

adam would like to buidl a deck that is 60 feet long by 8 feet wide. write an expression to represent the amount of wood adam would need.

Answers

Answer:

480 square feet

Step-by-step explanation:

Length of the wooden deck = 60 feet

Width of the wooden deck = 8 feet

In order to find the amount of wood need for the deck we have to find the area of the deck. The shape of deck is rectangular. So we need to find the area of a rectangle with a length of 60 feet and width 8 feet.

Area of a rectangle is calculated as:

Area = Length x Width

Using the given values, we get:

Area = 60 x 8 = 480 square feet

This means Adam needs 480 square feet of wood to build a deck.

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