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Shtirlitz [24]
3 years ago
12

If y is directly proportional to x and y=5 when x=2, find the value of y when x =7​

Mathematics
1 answer:
Amanda [17]3 years ago
3 0

Answer:

y = 17.5

Step-by-step explanation:

y = kx

→ Substitute in the values

5 = 2k

→ Divide both sides by 2 to isolate k

k = 2.5

⇒ y = 2.5x

→ Substitute in x = 7

y = 2.5x ⇔ y = 2.5 × 7 ⇔ y = 17.5

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Is it possible to construct a triangle with the angle measures 25 degrees, 75 degrees, and 80 degrees?
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<em>Yes</em><em> </em><em>it</em><em> </em><em>is</em><em> </em><em>possible</em><em> </em><em>to</em><em> </em><em>construct</em><em> </em><em>a</em><em> </em><em>triangle</em><em>. </em>

Step-by-step explanation:

IN A TRIANGLE ALL ANGLES ADD UP TO 180 DEGREES.

SUM OF THE GIVEN ANGLES =<em>25</em><em>+</em><em>75</em><em>+</em><em>80</em>

<em>GIVES</em><em> </em><em>180</em><em> </em><em>DEGREES</em><em>. </em>

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3 0
3 years ago
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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has $658. 80. Makay
Drupady [299]

The approximate difference between Calvin and Makayla's number of years of money invested is 2 years.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\left(1+\dfrac{r}{t}\right)^{t}

Here, A is the final amount (principal plus interest amount) on the principal amount of P with the rate of r in the time period of t.

Calvin deposits $400 in a savings account and Interest rate is 5 present compounded monthly.

As the final amount Calvin has $658.80 in c years. Thus the monthly compound interest can be given as,

658.8=400\left(1+\dfrac{5}{12\times100}\right)^{12c}\\\dfrac{658.8}{400}=\left(\dfrac{1205}{1200}\right)^{12c}\\c\cong10\rm years

Now Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. The final amount she gets is $613.4 in m years. Thus,

613.4=300\left(1+\dfrac{6}{12\times100}\right)^{12m}\\\dfrac{613.4}{300}=\left(\dfrac{1206}{1200}\right)^{12m}\\c\cong12\rm years

Thus, the approximate difference in the number of years that Calvin and Makayla have their money invested is 2 years.

Learn more about the compound interest here;

brainly.com/question/24274034

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C=2πR
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