8. The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will be four times the age of Sarpong now. How old is each boy?​

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're given that:

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = [tex]\dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)[/tex]

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

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Answer:

12 inches

Step-by-step explanation:

1 foot=12inches

48/12=4

Each of those pieces are 1 foot meaning each string is 12 inches.

Answer:

2

Step-by-step explanation:

Basically you plug in -6 where all the x's are.

(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)

36 + 7(-6) + 8, Multiply 7 by -6

36 - 42 + 8, Add 36 + 8

44 - 42, Subtract

2

Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:

306,370,370 people - 4,136,000 births

1,000 people - x births

Applying cross multiplication:

306370370x = 1000 x 4136000

x = 1000 x 4136000/306370370

x = 13.5

The birth rate fell to 13.5 births for every 1000 people.

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Answer:

17

Step-by-step explanation:

replace x with 5

3*5+2

next you use pemdas

you multiply before you add

3*5=15

15+2=17

Answer:

11

Step-by-step explanation:

the area of a triangle is bc/2

b = 8.8

c = ?

area = 48.4

48.4 = 8.8c/2

96.8 = 8.8c

c = 11

Please mark as brainliest!

11

Step-by-step explanation:

[tex] \frac{1}{2} \times 8.8 \times c = 48.4[/tex][tex] \frac{8.8 \times c}{2} = 48.4 \\ 8.8 \times c = 48.4 \times 2 \\ 8.8 \times c = 96.8 \\ c = \frac{96.8}{88} \\ c = 11[/tex]mark me brainiest please

Answer:

[tex]\boxed{\sf{y=2x+7}}[/tex]

Step-by-step explanation:

Use a slope formula and slope-intercept formula.

Slope-intercept formula:

[tex]\sf{y=mx+b}[/tex]

The m represents the slope.

The b represents the y-intercept.

Slope formula:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]

Rewrite the problem down.

[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]

y=2x+7

I hope this helps you! Let me know if my answer is wrong or not.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.

Now, since we know the concept, let's dig in ~

Answer:

Step-by-step explanation:

1. То find the coordinates of point B, since it is a translation of point A 4 units right and 5 units up, we can add 4 to the x coordinate of point A and add 5 to the y coordinate of point A. This gives us that B(2+4,3+5) = (6,8)

2. Similarly, we can subtract 8 from the x coordinate of point C and subtract 2 from the y coordinate of point C. This gives us that point D has coordinates (1,5).

Answer:

they want you to take what you have (point a and point c) and take the moving places and add it to their respected points

if that doesnt help then...

point A is (2,3)

point B is (2,3) + to the right 4 and up 5 which turns the 2 into a 6 and the 3 into an 8

point b is (6,8)

point c is (9,7)

point d is (9,7) + 8 spaces to the left and 2 spaces down which makes the 9 into a 1 and the 7 into a 5

point d (1,5)

Step-by-step explanation:

Answer:

They have more resources and yeah they just do

Step-by-step explanation:

I have no clue why im just guessing

Option c is the best option that can be recommended since it has the least total cost for a year.

An upfront cost is an initial sum of money owed in a purchase or business venture.

Option a:

Monthly cost = $618

Up-front cost = $24000

Total cost for a year= 618*12+24000 = $31416

Option b:

Monthly cost = $950

Up-front cost = $1900

Total cost for a year= 950*12+1900= $13300

Option c:

Monthly cost = $600

Up-front cost = $1200

Total cost for a year= 600*12+1200= $8400

Therefore, option c is the best option that can be recommended since it has the least total cost for a year.

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Answer:

1st question is A and C only, 2nd question is A only

Step-by-step explanation:

Got it right on edge. Have a great day :)

Answer:

-5

Step-by-step explanation:

-5 is less than -4, and -4 is greater than -5.

Negative numbers become smaller to the left on the number scale.

There are infinite possible answers to this. :)

Answer:

-5

Step-by-step explanation:

-5 is less than -4 and -4 is bigger than -5

Answer:

8 1/2

Step-by-step explanation:

14 inch - 5 1/2 inches = 8 1/2 inches

Aba's dog grew 8 1/2 inches.

Answer:

8.5 Inches, 2.78 pounds approximately

Step-by-step explanation:

14- n = 5.5. In this case you will have to subtract 5.5 from 14. 14 - 5.5 = 8.5. You get 2.5 pounds because, 1.10 x 2 = 2.20. 2.75 - 2.20= .55. $1.10 is 70 cents. 55/70 = 11/14= is around .78. 2+.78 = 2.78

Answer:

-2 to the third power is -8

-2 to the second power is -4

Step-by-step explanation:

-2 to the 3 power = -2× -2×-2

-2 to the second power is -2×-2

The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of these expenses,

Miranda's Total

= cost of flight + lodging costs + cost of food and other spending

= 928 ti + 755 ti + 814 ti

= 2497 ti

Hence, Miranda's total will be equal to 2497 Turkish lira.

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Answer:

[tex]\pi (\frac{diameter}{2} )^{2}[/tex]

Step-by-step explanation:

The formula is pretty similar to the standard equation, π·r², since the diameter is just the radius times two.

Hope that helps! :)

Answer:

14.875

Step-by-step explanation:

hope it helped

Step-by-step explanation:

Given: A parallelogram ABCD with AC as its diagonal

To prove: <A=C & <B=<D

Proof:

Opposite sides of parallelogram is parallel

So, AB || DC and AD || BC.

Since AB || DC

& AC is the transversal

< BAC = < DCA (Alternate angles...(1) )

Since AD || BC & AC is the transversal

<DAC = < BCA (Alternate angles)...(2)

when adding equation 1 and 2

<A=<C

In similar case,

<B=<D

Answer:

10.68

Step-by-step explanation:

3.1+1.35=4.45 4.45×2.4=10.68

Answer:

12000

Step-by-step explanation:

Using this information, you can make a ratio: 12.2/50 = x/48744

By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000

Answer:

11,894 women

Step-by-step explanation:

ratio of women to employees = 12.2 : 50

Let x = number of women employees to 48744 employees

12.2 : 50 = x : 48744

⇒ 12.2 / 50 = x / 48744

⇒ 0.244 = x / 48744

⇒ x = 0.244 · 48744

⇒ x = 11893.536

⇒ x = 11894 (nearest whole number)

Therefore, there are approximately 11,894 women in a company with a total of 48,744 employees

The sound will travel fastest at an elevation of 500m,

Elevation      Temperature

500m              11.8°C (MAXIMUM)

1000m               8.5°C

1500m               5.3°C

2000m               2.0°C

Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.

So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.

So, Sound will travel fastest at 500m elevation.

Therefore, At an elevation of 500m, the sound will travel fastest.

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Answer:

500 meters

Step-by-step explanation:

The relationship between e, f and g is an illustration of ratio

The ratio e : g is 2 : 7

The given parameters are:

e : f = 3 : 7

f : g = 2 : 3

Multiply e : f by 2.

So, we have:

e : f = 6 : 14

Multiply f : g by 7.

So, we have:

f : g = 14 : 21

Merge both ratios

e : f : f : g = 6 : 14 : 14 : 21

Remove repetition

e : f : g = 6 : 14 : 21

Remove f

e : g = 6 : 21

Divide by 3

e : g = 2 : 7

Hence, the ratio e : g is 2 : 7

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Answer:

15:11 ,where 15 = 435

So, 11 = 435×11//15 = 29×11 = 319

Hence, No. of girls = 319

Answer:

319 girls

Step-by-step explanation:

Given

Solving

Answer:

16,688 people lived in that town in 2016.

Step-by-step explanation:

10,811 + 7.5% = 11,621.8 = 11,622 (2011)

11,622 + 7.5% = 12,493.6 = 12,494 (2012)

12,494 + 7.5% = 13,431.05 = 13,432 (2013)

13,432 + 7.5% = 14,439.4 = 14,440 (2014)

14,440 + 7.5% = 15,523 (2015)

15,523 + 7.5% = 16,687.225 = 16,688 (2016)

Answer:

Price/Cost

Step-by-step explanation:

They may reduce the cost due to the lack of people buying that product, or vice versa.

Answer:

The method regarding the sampling to pick 200 sales representative is to make 20 groups of 10.

What is sampling?

Sampling simply means a process that's used in statistics where a predetermined number of observations are selected from the larger population.

In this case, the best way for the sales director to include 200 sales representatives, with an equal number from each region is simply to make 20 groups of 10.

Step-by-step explanation: correct on plato:)

Answer:

The best way would be to randomly select 100 reps from the midwest and another random 100 from the northeast, giving you an equal amount from each region and totaling to 200 total, while also giving valid conclusions to the study.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes