Which number is between 0.5 and 5/8?A : 1/4
B : 8/28
C : 9/16
D : 19/28
please help me

Answers

Answer 1
Answer: 5/8 is .625   and obviously  .50

Divide every answer...  A. .25
                                        B. aproxim. .2857
                                        C. .5625
                                        D.  aproxim.  .6785
So, let's see which one is it...  it is C.
Answer 2
Answer: MY ANSWER IS C.......

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3400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 25 years, to the nearest cent?

Answers

Answer:

The finalbank account amount will be $10,412.50, earning$7,012.50 in interest.

General Formulas and Concepts:
Algebra I

Simple Interest Rate Formula:
\displaystyle A = P(1 + rt)

  • A is the final amount
  • P is the principle amount
  • r is rate
  • t is time

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $3,400

r = 0.0825

t = 25

Step 2: Find Interest

  1. [Simple Interest Rate Formula] Substitute in variables:
    \displaystyle A = 3400 \bigg[ 1 + 0.0825(25) \bigg]
  2. Evaluate:
    \displaystyle A = \boxed{10412.5}

∴ the bank account will gain$7,012.50 and have a net balance of $10,412.50.

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Learn more about interest rate: brainly.com/question/27710668

Learn more about Algebra I: brainly.com/question/27710663

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Topic: Algebra I
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Final answer:

Using the formula for compound interest, we can find out that the sum of $3400, invested for 25 years at 8.25% annual interest compounded yearly, will amount to approximately $26358.85.

Explanation:

The question relates to calculating compound interest rather than simple interest. We're given $3400 as the principal, an annual interest rate of 8.25% and 25 years as the time period. We assume that the interest is compounded annually. Typically, we use the formula A=P(1+r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate in decimal form, n is the number of times that interest is compounded per unit t, t is the time the money is invested for.

Applying Formula

In this situation, r = 8.25/100 = 0.0825, P = $3400, t=25, and since it's yearly compounded n=1. Therefore, the equation becomes A = $3400 * (1+0.0825/1)^(1*25). The eventual amount will be approximately $26358.85. Thus, $26358.85 will be in the account after 25 years to the nearest cent.

Learn more about Compound Interest here:

brainly.com/question/14295570

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If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?The answer should be formatted like this:

The length of the other leg is __ in
The measures of the acute angles are : __ and __

Answers

General Idea:

By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.

Given:

a= 4 \; in\n\nc=8\; in\n\na^2+b^2=c^2\n\n4^2+b^2=8^2\n16+b^2=64\nSubtracting \; 16 \; on \; both \; sides\n\nb^2=64-16\nb^2=48\nTake \; square \; root \; on \; both \; sides\n\nb= √(48) = √(16 * 3) = √(16) * √(3) = 4 √(3) inches

We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).

The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.

Conclusion:

The length of the other leg is 4√3 in

The measures of the acute angles are : 30° and 60°


The length of the other leg is 6.9 inches.The measure of each acute angle is 45 degrees.

Carmen borrowed money from her sister. Each month she makes four payments , with an average payment of no more than $ 200 . This month she has already paid her sister $ 225 , $245 , and $ 235 What is the maximum amount she can pay for the fourth payment ?

Answers

Answer:

$95

Step-by-step explanation:

We are told that Carmen makes a monthly payment of no more than 200 dollars. We then see her going above the 200 dollars so we look to the tens and ones place. We see that we now have 25, 45, and 35 dollars. Add them up and you get 105 dollars. 200-105=95 so your awnser is $95.

the base price to rent a car is $60, and there is an additional cost of $2 per mile. the base price to rent a truck is $40, and their is an additional cost of $3 per mile. At how many miles will the cost be the same to rent either vehicle

Answers

Answer: At 20 miles.

Step-by-step explanation:

60 + 2m = 40 + 3m

-40

20 + 2m =  3m

-2m

20 = m

One sixth minus One tenth

Answers

1/6-1/10=.66_      if that makes sense.
one sixth minus one tenth is 0.6666666666

divide 18 cups if flour into two groups so the ratio is 4 to 5


Answers

Let us divide the flour into two groups, A and B
now we know from the given question
A/B = 4/5
A = 4B/5
We also know there are 18 cups of flour in total.
A + B = 18
So
(4B/5) + B = 18
(4B/5) + (5B/5) = 18
9B/5 = 18
B = (18*5)/9
   = 10
Then
A = 18 - B
   = 18 - 10
   = 8
So the ratio of dividing the 18 cups is 8:10