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Zina [86]
3 years ago
8

Mark each of the following as true or false and explain how you know.

Mathematics
2 answers:
earnstyle [38]3 years ago
4 0
True
False
False
True

(I think)
Tamiku [17]3 years ago
3 0
1) True, -5 is left to 3 on a number line, therefore it is less than 3.
2) False, 3 is right to -5 on a number line, therefore it is greater than -5.
3) False, |-5| is equal to 5 and 5 is right to 3 on a number line, therefore |-5| is greater than 3.
4) True, |-5| is equal to 5 and 5 is right to 3 on a number line, therefore |-5| is greater than 3.

let me know if you have any questions :)
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brenda savings account principal 850, 5.5% annual interest rate and is compounded quarterly for 1 year. what is the compound int
Sedbober [7]
A = $ 861.69

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year,
putting time into years for simplicity,
1 quarters ÷ 4 quarters/year = 0.25 years,
then, solving our equation

A = 850(1 + (0.055 × 0.25)) = 861.6875 
A = $ 861.69

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 850.00
at a rate of 5.5% per year
for 0.25 years (1 quarters) is $ 861.69.
3 0
2 years ago
A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
Bond [772]

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

7 0
1 year ago
The ratio of girls to boys at a movie is 5 : 4. If there are 12 boys​, how many girls are at the​ movie?
dalvyx [7]

Answer:

12/5 is 2.4 so

9 girls I think.

Step-by-step explanation:

8 0
3 years ago
I NEED HELP SOMEONE PLZZZ HELP ME PLZZZZ
Lina20 [59]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Layla uses 1.75 cups of sugar per batch of cookies. How many cups of sugar would she require to bake 9 batches of cookies?
ruslelena [56]

Answer:

15.75 cups

Step-by-step explanation:

If she uses 1.75 cups each batch to find how much she uses for 9 batches you just multiply 1.75 by 9 which gives you 15.75 cups

8 0
3 years ago
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