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Digiron [165]
3 years ago
9

Using appropriate properties, find −

Mathematics
1 answer:
Marysya12 [62]3 years ago
6 0

Answer:

what does it say

Step-by-step explanation:

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Q=(r-m)/2 if r=21 and m=15​
LuckyWell [14K]

Answer: q = 3

Step-by-step explanation:

Q = (21 - 15)/2 = 6/2 = 3

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3 years ago
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Jack can run a mile in 9, 1/3 minutes. How long will it take for him to run 3, 1/2 miles?
BARSIC [14]
If you turn 9 1/3 in to a decimal and 3 1/2 in a decimal also 

9 1/3 = 9.3 and 3 1/2 =3.5 
9.3+3.5 =12.8 
12.8=12 4/5


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3 years ago
6114 chocolate bars are to shared equally between 24 large cake mixes how many bars does each cake mix get
Basile [38]

Answer:

146,736

Step-by-step explanation:

6114 divided by 24 is 146,736

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2 years ago
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Paula has $54. She bought some pencils, each costing $0.75, and a paper ream for $2.50. She is left with $42.50 after buying pen
8090 [49]

Answer:

12 pencils

Step-by-step explanation:

let no. of pencils bought be x.

54 - 0.75x - 2.50 = 42.50

9 = 0.75x

x = 12

Topic: algebraic equations

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7 0
2 years ago
Sam invests a sum of money in a retirement account with a fixed annual interest rate of 7%
Zolol [24]

Answer:

The initial amount of investment was $7,822

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt}, where

  • <em>A</em> is the future value of the investment/loan, including interest
  • <em>P</em> is the principal investment amount  
  • <em>r</em> is the annual interest rate (decimal)
  • <em>n</em> is the number of times that interest is compounded per unit t
  • <em>t</em> is the time the money is invested or borrowed for

Let us use this rule to solve the question

∵ Sam invests a sum of money in a retirement account with a fixed

   annual interest rate of 7% compounded quarterly

∴ <em>r </em>= 7% = \frac{7}{100} = 0.07

∴ <em>n</em> = 4 ⇒ compounded quarterly

∵ After 13 years, the balance reaches $19,280.02

∴ <em>A</em> = 19,280.02

∴ <em>t </em>= 13

Substitute these values in the rule above to find <em>P</em>

∵ 19,280.02=P(1+\frac{0.07}{4})^{4(13)}

∴ 19,280.02=P(1.0175)^{52}

→ Divide both sides by (1.0175)^{52}

∴ 7,821.99888 = <em>P</em>

→ Round it to the nearest dollar

∴ 7,822 = <em>P</em>

∴ <em>P</em> = $7,822

∴ The initial amount of investment was $7,822.

8 0
3 years ago
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