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umka2103 [35]
2 years ago
7

Each morning darnell does a combination of aerobics and stretching exercises. the exercises burn different amounts of calories p

er minute. the following system represents the time darnell exercises and the amount of calories burned. in the system, x represents the number of minutes darnell spends doing aerobics and y represents the number of minutes he spends stretching
x+y=60
15x+5y=500
Mathematics
1 answer:
iogann1982 [59]2 years ago
8 0

Answer:

x=34

Step-by-step explanation:

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Casey deposited $1,450 in a bank account with an interest rate of 4% How much simple interest was earned in two years? Is the an
pantera1 [17]

Answer:

The simple interest was earned is $116

Yes; the answer is $116

Step-by-step explanation:

- The rule of the simple interest is:

→ <em>I = P r t</em>, where I is the interest, P is the money invested, r is the rate

of interest in decimal, and t is the time of investment

- Casey deposited $1,450 in a bank account with an interest rate of 4%

- We need to find the amount of interest Casey earned in two years

- The interest is simple

∵ P = $1450

∵ r = 4% = 4/100 = 0.04

∵ t = 2 years

∵ The interest is simple

∴ <em>I = Prt</em>

- Substitute the values of P , r , t in the rule

∴ I = 1450 × 0.04 × 2 = 116

∴ <em>The simple interest was earned is $116</em>

* <em>Yes; the answer is $116</em>

7 0
2 years ago
Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe
Svetach [21]

Answer: 100-x

Therefore, the algebraic exp

Step-by-step explanation:

Given : x represents the number of pounds of coffee​ A.

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100-x

Therefore, the algebraic expression that represents the number of pounds of coffee B. :-

100-x

5 0
2 years ago
Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is
Anna007 [38]

As given,  

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

45000\times\frac{8.5}{100} = $3825  (this is yearly)

And for 1st month it will be = \frac{3825}{12}=  $318.75  

As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.

Hence, the new principle after the 1st month is $71.85 less than $45000

= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0
2 years ago
Jared is placing chairs around of rectangular stage. The stage is 10 feet long and 22 feet wide. He wants to put a chair at each
marishachu [46]
Hi there, I believe the answer is 20. Because, each corner is 4 chairs plus every two feet, equals 20. Hope this helps!
3 0
2 years ago
Read 2 more answers
Juan invest $3700 in a simple interest account at a rate of 4% for 15 years
OleMash [197]

<em><u>Question:</u></em>

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

<em><u>Answer:</u></em>

There will be $ 5920 in account after 15 years

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

S.I = \frac{p \times n \times r }{100}

Where,

p is the principal

n is number of years

r is rate of interest

From given,

p = 3700

r = 4 %

t = 15 years

Therefore,

S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220

<em><u>How Much Money Will Be In The Account After 15 Years?</u></em>

Total money = principal + simple interest

Total money = 3700 + 2220

Total money = 5920

Thus there will be $ 5920 in account after 15 years

8 0
2 years ago
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