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SIZIF [17.4K]
3 years ago
12

vanessa invested $2,500 into an account that will increase in value by 3.5% each year. Write an exponential function to model th

is situation,then find the value of the investment after 20 years​
Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer: (i) A = 2500 ((1.035)^{n}

(ii) A =$ 4,974.47

Step-by-step explanation:'

The exponential function is given as :

A = P(1+r)^{n}

Where :

A = amount

P = principal

r = rate %

n = number of years

substituting , the exponential function to model the situation becomes

A = 2500 ((1.035)^{n}

(ii) when n = 20 , the Amount becomes

A = 2500((1.035)^{20}

A =$ 4,974.47

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What is the area of the trapezoid?
Maslowich
<h3><u>Given Information :</u></h3>

  • Length of parallel sides = 60 ft and 40 ft
  • Height of the trapezoid = 30 ft

<h3><u>To calculate :</u></h3>

  • Area of the trapezoid.

<h3><u>Calculation :</u></h3>

As we know that,

\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\

  • a and b are length of parallel sides.
  • h denotes height.

<em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>valu</em><em>es</em><em>,</em><em> </em><em>we</em><em> </em><em>get</em><em> </em>:

\longmapsto Area = \sf \dfrac{1}{2} × ( 60 + 40 ) × 30 ft\sf ^2

\longmapsto Area = \sf \dfrac{1}{2} × 100 × 30 ft\sf ^2

\longmapsto Area = 1 × 100 × 15 ft\sf ^2

\longmapsto Area = 100 × 15 ft\sf ^2

\longmapsto <u>Area = 1500 ft</u>\sf ^2

Therefore,

  • Area of the trapezoid is <u>1500 ft\sf ^2</u>

6 0
3 years ago
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Answer:

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Step-by-step explanation:

6 0
2 years ago
{2, -1, -4, -7, ...}
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Step-by-step explanation:

3 0
3 years ago
Which expression is equivalent to b + b - 0.56b?
Alexxx [7]
Hey there!

“Which expression is equivalent to b + b – 0.56b?”

• “b” or any other letter value is considered an “unknown number” so usually we label it/them as an invisible 1

• COMBINE the LIKE TERMS

(b + b – 0.56b)

(1b + 1b – 0.56b)
1b + 1b = 2b
2b – 0.56b = 1.44b

• Therefore, b + b – 0.56b is equivalent to 2b + 0.56b

Possible answer that you could be looking for: 2b + 0.56b ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
4 0
3 years ago
Which one is the answer for these qution 4x=5(9x+2)<br> A)5/2<br> B)41/10<br> C)-10/41<br> D)10/41
stealth61 [152]
C. -10/41

First use the distributive property to get 4x = 45x + 10
Use subtraction on both sides by 10
Again use subtraction of 4x on both sides
You now have -10 = 41x
Use division to get x alone and you now have -10/41 = x
5 0
4 years ago
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