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3 years ago

An amount obtained as a result of subtracting numbers

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

difference

An amount obtained as a result of subtracting numbers is known as difference

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A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5%

gizmo_the_mogwai [7]

9514 1404 393

Answer:

$20,330 down
$193,670 loan
$560.35 monthly
$255,677 total price

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

down = 0.095×$214,000 = $20,330

b) The amount of the loan is the remaining value after the down payment is made:

$214,000 -20,330 = $193,670

c) The monthly payment is given by the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

d) The total cost of the house is ...

down + (monthly payment)×(number of months)

= $20,330 + $560.35×420

= $255,677

6 0

3 years ago

3 (2x -1) = -2 (x +3)

Misha Larkins [42]

Answer:

x = 3/8 (but the fraction is negative.)

Decimal form if needed.

x = - 0.375

6 0

3 years ago

Is x greater than, less than, or equal to 73 degrees?

puteri [66]

Answer:grater than

Step-by-step explanation:

mark brainliest please

6 0

3 years ago

What is the length of EF?

Anarel [89]

I'm pretty sure its c.........

3 0

3 years ago

Cable Strength: A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the ca

KatRina [158]

Answer:

95% confidence interval for the mean breaking strength of the new steel cable is [763.65 lb , 772.75 lb].

Step-by-step explanation:

We are given that the engineers take a random sample of 45 cables and apply weights to each of them until they break. The mean breaking weight for the 45 cables is 768.2 lb. The standard deviation of the breaking weight for the sample is 15.1 lb.

Since, in the question it is not specified that how much confidence interval has be constructed; so we assume to be constructing of 95% confidence interval.

Firstly, the Pivotal quantity for 95% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean breaking weight = 768.2 lb

s = sample standard deviation = 15.1 lb

n = sample of cables = 45

$\mu$ = population mean breaking strength

Here for constructing 95% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.02 < $t_4_4$ < 2.02) = 0.95 {As the critical value of t at 44 degree

of freedom are -2.02 & 2.02 with P = 2.5%}

P(-2.02 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.02) = 0.95

P( $-2.02 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.02 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.02 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.02 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.02 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.02 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $768.2-2.02 \times {\frac{15.1}{\sqrt{45} } }$ , $768.2+2.02 \times {\frac{15.1}{\sqrt{45} } }$ ]

= [763.65 lb , 772.75 lb]

Therefore, 95% confidence interval for the mean breaking strength of the new steel cable is [763.65 lb , 772.75 lb].

3 0

3 years ago