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MrRa [10]
3 years ago
11

Can someone please help me

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Answer:

e

Step-by-step explanation:

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3. Sam and Tim each have savings accounts. Every month they each put in some of their
Setler [38]

Answer:

y = 30x +50 --- Sam

y = 20x +80 --- Tim

Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

(x_1,y_1) = (1,80)

(x_2,y_2) = (4,170)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{170 - 80}{4 - 1}

m = \frac{90}{3}

m = 30

Next, we calculate the line equation using:

y - y_1=m(x-x_1)

y - 80 = 30(x - 1)

y - 80 = 30x - 30

Make y the subject

y = 30x - 30 + 80

y = 30x +50

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

(x_1,y_1) = (1,100)

(x_2,y_2) = (4,160)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{160 - 100}{4 - 1}

m = \frac{60}{3}

m = 20

Next, we calculate the line equation using:

y - y_1=m(x-x_1)

y - 100 = 20(x - 1)

y - 100 = 20x - 20

Make y the subject

y = 20x - 20+100

y = 20x +80

7 0
3 years ago
Laura and Martin obtain a 30-year, $180,000 conventional mortgage at 10.0% on a house selling for $210,000. Their monthly mortga
Westkost [7]

Answer:

total payment = $563,760

Interest = $383,760

Principal part = $66

Step-by-step explanation:

(a) total payment:

n = 30 years = 360 months

monthly payment = $1,566

Total payment = $1,566 * 360 months = $563,760

(b) interest:

Total payment = $563,760

Principal = $180,000

Total payment = Principal + Interest

Interest = Total payment - Principal

Interest = $563,760 - $180,000 = $383,760

(c) part of first payment applied to the principal:

First payment = $1,566

Principal = $180,000

Interest rate = 10% yearly = 10% / 12 = 0.8333% = 0.008333 monthly

Monthly interest = Principal * Interest rate = $180,000 * 0.008333 = $1,500

Principal part = $1,566 - $1,500 = $66

Hope this helps!

4 0
3 years ago
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