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3 years ago

Lauren Michel lends $17,000 at a rate of 10.7% .

1 answer:

7 0

Given:
Principal = 17,000
rate = 10.7%
term = x/360
interest = 1,121.72

Interest = Principal * rate * term
1,121.72 = 17,000 * .107 * x/360
1,121.72 = 1,819x / 360
1,121.72 * 360 = 1,819x
403,632 / 1,819 = x
221.90 = x

Lauren Michelle will have to wait 222 days for her investment to earn $1,121.72

Given:
Principal = x
rate = 9%
term = 10 months
interest = 1,687.50

Interest = Principal * rate * term
1,687.50 = x * 0.09 * 10/12
1,687.50 = x * 0.075
1,687.50 / 0.075 = x
22,500 = x

The amount Sandra Leatherwood invested was $22,500.

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The Davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. They want to extend the leng

tiny-mole [99]

You just need to do 15x12=180+160=340divided by 2

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2 years ago

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Round 199.532 to the nearest tenth

kicyunya [14]

Answer:

199.5

Step-by-step explanation:

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2 years ago

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Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D

enyata [817]

Answer:

The measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

Step-by-step explanation:

Given information:AB=CD, MN is a midsegment, MN=30, BC=17, AB=26

Since two opposites sides are equal, therefore we can say that two no parallel sides are equal.

The length of midsegment is average of length of parallel lines.

$MN=\frac{AD+BC}{2}$

$30=\frac{AD+17}{2}$

$60=AD+17$

$43=AD$

Draw perpendiculars on AD from B and C. Let angle A be θ. D

$AD=AE+EF+FD$

Since ABCD is an isosceles trapezoid, therefore AE=FD and EF=BC

$AD=AE+EF+AE$

$43=2(AE)+17$

$26=2(AE)$

$13=AE$

$\cos\theta=\frac{base}{hypotenuse}$

$\cos\theta=\frac{AE}{AB}$

$\cos\theta=\frac{13}{26}$

$\cos\theta=\frac{1}{2}$

$\theta=\cos^{-1}\frac{1}{2}$

$\theta=60$

Since ABCD is an isosceles trapezoid, therefore angles A and D are same. Angle B and C are same.

$\angle A=\angle D=60^{\circ}$

The sum of two consecutive angles of a trapezoid is 180 degree by consecutive interior angle theorem.

$\angle A+\angle B=180^{\circ}$

$60^{\circ}+\angle B=180^{\circ}$

$\angle B=120^{\circ}$

$\angle B=\angle C=120^{\circ}$

Therefore measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

3 0

3 years ago

Heres the answer l.m.a.o

torisob [31]

Answer:

That's a solid answer there.

Step-by-step explanation:

LOL

4 0

2 years ago

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0.194 if 94 is repeating how do I write it as a fraction?

umka2103 [35]

If you divide a number by 9 then that number is repeated (1/9 = 0.111111... or 2/9 = 0.22222....)

So if we want 94 to repeat in the decimal 0.194 then we can have 94/99. But the thing is that we don't have 94 being repeated starting from the tenths place so we can possibly do 94/990.

Now we do have a tenths with a zero but we need a one to replace that zero. To do that we have to add 1/10 + 94/990 = 99/990 + 94/990 = 193/990.

5 0

3 years ago