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Varvara68 [4.7K]
3 years ago
6

You invest $1700 in an account that earns 1.3% interest compounded daily. Write an equation to model the amount of money at any

given time.
Please give an explanation but detailed as possible. I would like to learn how to solve word problems like these and improve on my math. I wan to get better so I can peruse my dream of being an engineer, and math is an important concept to it, so I would highly appreciate some help so I can learn :D
Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

the equation goes like this

y = ab^x

y = total cost

a = the intital amount (in your case the $1700)

b = the interest (since this is an exponetial growth it should be 1.013)

x = time

soo y = 1700(1.013)^x is the equation

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Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea
Varvara68 [4.7K]

Answer: 56,900\left( 0.919\right)^x

Step-by-step explanation:

Given

Marcos purchased a sailboat for \$56,900

Each year the boat will decrease in value by 8.1\%

After 1 year it is

\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\

after another year it becomes

\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2

After x years it is

\Rightarrow 56,900\left( 1-0.081\right)^x

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5 0
3 years ago
May someone help me on this please
grigory [225]
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7 0
3 years ago
A bivariate data set has x = 21, sx = 13, y = 55, sy = 27, and r = .88. What is the equation for the regression line of y on x?
earnstyle [38]

Answer:

c) y=16.57+1.83x

Step-by-step explanation:

Equation for regression line of y on x is given as

\hat{y}=mx+b --- (1)

where

\hat{y} = predicted value

m = slope of line

b = intercept

m and b are found as

m=r\frac{S_{y}}{S_{x}}---(2)\\\\b=\bar{y}-m\bar{x}---(3)

r = correlation coefficient = 0.88

Sx = standard deviation for independent variable x = 13

Sy = standard deviation for dependent variable y = 27

\bar{x} = mean value of independent variable x = 21

\bar{x} = mean value of dependent variable y = 55

Substituting these values in (2) and (3)

m=r\frac{S_{y}}{S_{x}}\\\\m=(0.88)\frac{27}{13}\\\\m=1.83

b=\bar{y}-m\bar{x}\\\\b=55-(1.827)(21)\\\\b=16.57

Putting these values of m and b in (1)

y=1.83x+16.57

5 0
3 years ago
Is –0.45 – 0.6 + 0.75p equal to –3(0.15 – 0.2 + 0.25p)
polet [3.4K]

Answer:

no, the have a negative difference

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3 years ago
A scale model of a boat is 6 inches long. The actual boat is 42 feet long. Which statement(s) are true??
Vitek1552 [10]

Answer:

B. 1 in = 7 ft

Step-by-step explanation:

Since on the scale the boat was 6 inches and the actual boat was 42 feet, we need to divide to see how many feet correlate to the number on inches on the scale. So we do 42 / 6, which equals 7. This means that for every inch on the scale, it will be 7 feet in real life.

3 0
3 years ago
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