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Natalija [7]
3 years ago
6

Please Help These two! Thank you

Mathematics
1 answer:
UNO [17]3 years ago
6 0

Answer:

7. there are 30 pounds per box

8. $1.89 per notebook

Step-by-step explanation:

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A cathedral has a large, circular stained-glass window. A visitor measures the window and calculates that it has a circumference
PtichkaEL [24]
The diameter is 6 yards
8 0
3 years ago
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Simplify the exponential problem<br> 7b^5/b^4
Norma-Jean [14]

Solution:

If the <u>numerator</u> and the <u>denominator</u> have like bases in exponents, then the <u>exponents</u> subtract.

  • \frac{7b^5}{b^4} = 7b^5^{-4}
  • => 7b

Thus, 7b is the simplified expression.

5 0
3 years ago
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Tony is evaluating his retirement savings. He currently has $318,000 in his account which earns an interest rate of 7% compounde
castortr0y [4]

Answer:

(1)A(t)= 318000(1.07)^t

(3)t=16.93 years

Step-by-step explanation:

For a Principal Saved at Compound Interest, the Amount accrued is derived by the function:

A(t)= P(1+r)^t

When:

(1)P=$318,000

r=7%=0.07

A(t)= 318000(1+0.07)^t\\A(t)= 318000(1.07)^t

(2)See Attachment

(3)If Tony's goal is to save $1,000,000.

1000000= 318000(1.07)^t\\(1.07)^t=\frac{1000000}{318000} \\(1.07)^t=3.1447\\Log_{1.07}\frac{1000000}{318000}=t\\t=16.93

(4)The graph confirms the result as the $1000000 Mark on the y-axes occurs almost at x=17

6 0
3 years ago
Leah wrote 2 different fractions with the same denominator.Both fractions were less than 1. Can their sum equal 1? Can their sum
Alex777 [14]

Answer:

1. Yes

2. Yes

Step-by-step explanation:

Leah wrote 2 different fractions with the same denominator. Both fractions were less than 1.

1. Can their sum equal 1?

Let Leah fractions be \dfrac{6}{7} and \dfrac{1}{7}. Both these fractions have the same denominators and are less than 1. Find their sum:

\dfrac{6}{7}+\dfrac{1}{7}=\dfrac{7}{7}=1

2. Can their sum be greater than 1?

Let Leah fractions be \dfrac{6}{7} and \dfrac{5}{7}. Both these fractions have the same denominators and are less than 1. Find their sum:

\dfrac{6}{7}+\dfrac{5}{7}=\dfrac{11}{7}=1\dfrac{4}{7}>1

7 0
4 years ago
A recipe calls for 2 cups of flour to make 24 cookies. Write and solve a proportion to find how much flour is needed to make 54
horrorfan [7]
For the answer to the question above,
when you put it into a proportion it would be 2/24 = x/54  
multiply 2 and 54 which equals 108 
and multiply 24 and x which equals 24x
so you have 24x=108       divide 24x by 24 so you have x standing alone but what you do to one side you have to do to the other so divide 108 by 24 and get 4.5 which is 4 1/2 cups of flour. 
So the answer is<span> 2/24 = x/54; x = 4 1/2 cups</span>
8 0
3 years ago
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