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lukranit [14]
2 years ago
6

Can you help me find the area of the trapezoids ​

Mathematics
1 answer:
DiKsa [7]2 years ago
4 0

Answer:

See below.

Step-by-step explanation:

the one on the left area is 104

the one on the right area is 19.5

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Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte
Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time(T_{1})=4 years

Time(T_{2})=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

S.I=\frac{P\times R\times T}{100}

S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years  when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

A=P*(1+\frac{R}{100})^t

A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60

A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years  when interest is compounded annually=$ 9034(approx)

4 0
3 years ago
Read 2 more answers
AB is parallel to CD,<br> a) Find the value of angle x.<br> b) work out the value of angle y.
anastassius [24]

Answer:

x=69°  y=69°

Step-by-step explanation:

Angle x is an alternate angle so it is equal to the angle above it (69)

Angle y is in a co-interior angle so you do the equation 180-111 which equals 69°

4 0
3 years ago
Convert. If necessary, round to the nearest tenth. (Recall: 1.06 qt. ≈ 1 L) 15 L qt. a. 15.9 c. 13.4 b. 159 d. 134
Makovka662 [10]
The answer is a. 15 L x 1.06= 15.9
4 0
3 years ago
The distance on a bike path between Westfield and Southborough is 46 mi. Tracey leaves Westfield heading to Southborough cycling
ipn [44]

Answer: 2 hr.

Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.

8 0
3 years ago
Read 2 more answers
(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
RUDIKE [14]

Answer:

\%Change = 8.8\%

Step-by-step explanation:

Given

Initial = 51\ cents

Final = 55.5\ cents

Required

Determine the percentage change

Percentage change is calculated as;

\%Change = \frac{Final - Initial}{Initial} * 100\%

\%Change = \frac{55.5 - 51 }{51 } * 100\%

\%Change = \frac{4.5}{51} * 100\%

\%Change = \frac{4.5* 100\%}{51}

\%Change = \frac{450\%}{51}

\%Change = 8.8\%

<em>Hence, the percentage change is approximately 8.8%</em>

6 0
3 years ago
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