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WINSTONCH [101]
3 years ago
11

PLEASE HELP!! I WILL GIVE BRAINLIEST!! I don’t understand please help with number 15 & 16

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

Step-by-step explanation:

15) t = 1 ,  3t - 2 = 3*1 - 2 = 3 - 2 = 1

      t =2,  3t - 2 = 3*2 - 2 = 6 -2 = 4

    t = 3,   3t - 2 = 3*3 - 2 = 9 - 2 = 7

     t = 4 ,  3t - 2 = 3*4 - 2 = 12 - 2 = 10

Series : 1,4,7,10,.........

a = first term = 1

d = common difference = 2nd term - first term = 4 - 1 = 3

n = number of terms = 20

S = \frac{n}{2}*(2a + (n-1)d)

  =\frac{20}{2}(2*1 +19*3)\\\\= 10 * (2 + 57)\\\\= 10* 59\\\\= 590

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A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 1
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Answer:

The answer is "$238".

Step-by-step explanation:

Current worth= \$ 17,000

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time=  19 years

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Using formula:

\to \text{Worth=  Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}

\to A_t=A_0(1-\frac{r}{100})^t

calculates depreciate value in 3 year = \frac{1}{2} \times 17,000

                                                              = 8,500

so,

A_t=8,500\\\\A_0=17,000\\\\t=3\ years

\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%

depreciates rate= 20%

\to \text{Worth=  Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}

= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238

4 0
3 years ago
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6 0
3 years ago
Ramon is a waiter. He waits on a table of 4 whose bill comes to $99.69. If Ramon receives a 20% tip, approximately how much will
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why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)
GaryK [48]
<h3>Answer:</h3>

f(x) = -(x -2)² +3

<h3>Step-by-step explanation:</h3>

We can fill in the vertex (h, k) values immediately in the vertex form ...

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To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:

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3 years ago
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