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3 years ago

6

A particular shade of paint is made by mixing 5 parts red paint with 7 parts blue paint. To make this shade, Shannon mixed 12 qu

arts of blue paint with 8 quarts of red paint.Did Shannon mix the correct shade? explain.

1 answer:

Shtirlitz [24]3 years ago

3 0

Shannon did not mix the correct shade. Cause the correct ratio of blue and red is 7:5. While Shannon mix 12:8=3:2 which is not equal to 7:5.

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Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. How interest will he have earned a

agasfer [191]

We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.

We will use compound interest formula to solve our given problem.

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

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$3.25\%=\frac{3.25}{100}=0.0325$

$A=6500(1+\frac{0.0325}{1})^{1\cdot 8}$

$A=6500(1+0.0325)^{8}$

$A=6500(1.0325)^{8}$

$A=6500(1.2915775352963673)$

$A=8395.253979$

Now we will subtract principal amount from final amount to find amount of interest as:

$\text{interest}=8395.253979-6500$

$\text{interest}=1895.253979\approx 1895.25$

Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.

7 0

3 years ago

Solve the following application problem. Be sure to show your system of equations and the steps to solve the problem.

ololo11 [35]

Answer:

boat: 6 mph
current: 2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

speed = distance/time

For boat speed b and current speed c, the speed downstream is ...

b +c = (16 mi)/(2 h) = 8 mi/h

The speed upstream is ...

b -c = (16 mi)/(4 h) = 4 mi/h

Adding the two equations eliminates the c term:

2b = 12 mi/h

b = 6 mi/h . . . . . divide by 2

Solving the second equation for c, we get ...

c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h

The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.

6 0

2 years ago

The ratio of 6th graders to 7th graders in a MATHCOUNTS club is 5:4. The ratio of 8th graders to 7th graders in the same club is

lorasvet [3.4K]

ANSWER
========

Ratio of 8th graders to 7th graders = 3 : 2

Let the number of graders be 3x and 2x

Number of 8th graders = 18

So , 3x = 18

x = 18/3 = 6

Number of 7th graders = 2 × 6 = 12

Ratio of 6th graders to 7th graders = 5 : 4

Let the number of graders be 5a and 4a

Number of 7th graders = 12

So , 4a = 12

a = 12/4 = 3

Number of 6th graders = 5×3 = 15 ANS

_______________________________

#BE BRAINLY

3 0

3 years ago

Read 2 more answers

The cost to visit a famous tourist attraction in Russia is 442.25 Rubles. What is the cost in USD if the exchange rate is 3 USD

Lubov Fominskaja [6]

Answer:

$14.5

Step-by-step explanation:

Given data

Cost for the visit=442.25 Rubles

exchange rate

3 USD= 91.5 Rubles

but 1 USD= 91.5/3

= 30.5

Therefore if 1 USD is 30.5 Rubles

Then xUSD is 442.25 Rubles

cross multiply

30.5x= 442.25

divide both sides by 30.5

x= 442.25/30.5

x=14.5USD

The cost of the attraction is $14.5

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2 years ago

In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea

EastWind [94]

Answer:

125

Step-by-step explanation:

600=150+225+100+X=475+X

600-475=125=X

X=125

7 0

2 years ago

Read 2 more answers