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alex41 [277]
3 years ago
14

What is the answer to the question

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0
(42 - 14sqrt2)/5 because rationalizing means getting the root out of the denominator, which is done by multiplying the denominator by a negative or positive root depending on the situation

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A combined total of $53,000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is $3,085.00. How
m_a_m_a [10]

Answer:

Step-by-step explanation:

the amount of money invested at the rate of 5% is $24000

the amount of money invested at the rate of 6.5%. Is $29000

Step-by-step explanation:

Let x represent the amount of money invested at the rate of 5%.

Let y represent the amount of money invested at the rate of 6.5%.

The combined total of $53,000 is invested in two bonds that pay 5% and 6.5% simple interest.. This means that

x + y = 53000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the investment at the rate of 5%,

P = x

R = 5

T = 1

I = (x × 5 × 1)/100 = 0.05x

Considering the investment at the rate of 6.5%,

P = y

R = 6.5

T = 1

I = (y × 6.5 × 1)/100 = 0.06.5y

The annual interest is $3,085.00.

it means that

0.05x + 0.065y = 3085 - - - - - -1

Substituting x = 53000 - y into equation 1, it becomes

0.05(53000 - y) + 0.065y = 3085

2650 - 0.05y + 0.065y = 3085

- 0.05y + 0.065y = 3085 - 2650

0.015y = 435

y = 435/ 0.015 = 29000

Substituting y = 29000 into

x = 53000 - y

x = 53000 - 29000

x = $24000

6 0
3 years ago
a marathon runner ran the first 3 miles in 17.2minutes if she continues running at this pace how long will it take her to run th
RideAnS [48]

Answer:

56.0 m


Step-by-step explanation:


3 0
3 years ago
BRAINLIEST!!!
Nutka1998 [239]

Answer:

\frac{35}{48}

Step-by-step explanation:

Probability:Probability=\frac{favourable\ outcome}{total\ outcome}

Probability of NOT 6:

Total\ outcomes=\{1,2,3,4,5,6\}\\\\Number\ of\ total\ outcomes=6\\\\Favourable\ Outcomes= NOT\ 6=\{1,2,3,4,5\}\\\\Number\ of\ favourable\ outcomes=5\\\\P(NOT\ 6)=\frac{5}{6}

Probability of NOT H:

Total\ outcomes=\{A,B,C,D,E,F,G,H\}\\\\Number\ of\ total\ outcomes=8\\\\Favourable\ Outcomes= NOT\ H=\{A,B,C,D,E,F,G\}\\\\Number\ of\ favourable\ outcomes=7\\\\P(NOT\ H)=\frac{7}{8}

Probability of NOT 6 and NOT H:

Both\ events\ are\ independent\\\\P(NOT\ 6\ and\ NOT\ H)=P(NOT\ 6)\times P(NOT\ H)\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{5}{6}\times \frac{7}{8}\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{35}{48}

6 0
3 years ago
Based on the given information, what is the measure of the missing length, c?
salantis [7]

Answer:

c=5\ units

Step-by-step explanation:

we know that

In the right triangle ABC of the figure

Applying the Pythagoras Theorem

AC^{2}=AB^{2}+BC^{2}

substitute the given values

13^{2}=c^{2}+12^{2}

Solve for c

169=c^{2}+144

c^{2}=169-144

c^{2}=25

c=5\ units

4 0
3 years ago
Rewrite the expression in the form k*x^n<br><br> (16/x^3)^1/4
Alecsey [184]

Answer:

2*x^(3/8)

Step-by-step explanation:

4 0
2 years ago
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