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schepotkina [342]

3 years ago

6

Sarah invested $12,000, part at 5% simple interest and the rest at 7% simple interest for a period of 1 year. How much did they

invest at each rate if each account earned
the same interest?

1 answer:

goblinko [34]3 years ago

7 0

Answer:\

7 percent times5 percent devided by 12,000

Step-by-step explanation:

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If anyone knows this I will give them brainiest

statuscvo [17]

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

100 = 8x + 4

100 - 4 = 8x

96 = 8x

96/8 = x

12 = x

x = 12

✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

3 0

3 years ago

Find the Pearson correlation coefficient R for the given point round any intermediate calculation to no less than six decimal pl

ElenaW [278]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Get the given data values

STEP 2: Write the formula for calculating the coefficient

STEP 3

: Calculate the correlation coefficient

Using the calculator,

Hence, the value of r is 0.791

7 0

1 year ago

Find the radius and diameter of circle A, if the endpoints of the radius<br> are (-2, -1) and (6,4).

AleksandrR [38]

Step-by-step explanation:

$length \: between \: ( - 2, - 1) \: and \: (6,4) \\ = \sqrt{(x _{1} - x _{2} )² + (y _{1} - y _{2})² } \\ = \sqrt{( - 2 - 6)²+ ( - 1 - 4)²} \\ = \sqrt{64 + 25} \\ = \sqrt{100} \\ = 10 \: units \\ radius = 10 \: units \\ diameter = 2 \times radius \\ d = 2 \times 10 \\ d = 20 \: units$

8 0

3 years ago

The violin was on sale for 50% off sale price is $50 what was the original sale price

zhenek [66]

Answer:100$

Step-by-step explanation: since the violin was 50 % off, that just means that the price it is is half of what it normally was , so you just multiple the fifty by 2 to get your answer which is that the violin cost 100$

7 0

3 years ago

Read 2 more answers

The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000

ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

<em>Find the value of k</em>

For the point (4,2268)

$k=\frac{2,268}{4}=567\ mph$

The slope represent the speed of the airplane

so

The linear equation is

$y=567x$

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

3 0

3 years ago