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3 years ago

Find the simple interest for a $3000 loan for 3 years at a rate of 5% (Formula: I=Prt)

Mathematics

2 answers:

stiks02 [169]3 years ago

8 0

Answer:

$450

Step-by-step explanation:

Interest= 3000(5%)(3)= $450

Common mistake: Do not use 36 as the time period. Only use the number of years, it the number of months.

Verizon [17]3 years ago

6 0

To answer this, you use the formula $I = Prt$ where

$I$ is the simple interest that builds

$P$ is the principal (AKA the amount invested/borrowed)

$r$ is the interest rate per year

$t$ is the lenght of the loan, in years.

In your situation:

$\begin{aligned}I &= (\$3000)(5 \%/\text{year})(3 \text{ years})\\[0.5em]&= (3000)(0.05)(3)\\[0.5em]&= 450\end{aligned}$

This means there'd be $450 of simple interest due at the end of 3 years.

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Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit

Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is $2$

Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point $(1,8)$

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

The equation of a vertical parabola in standard form is equal to

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

7 0

3 years ago

What is 2/4 + 4/5 - 7/10 ? Please help

Radda [10]

Make sure they have all common denominators
$\frac{2}{4} + \frac{4}{5} - \frac{7}{10}$

$\frac{2}{4} * \frac{5}{5} = \frac{10}{20}$

$\frac{4}{5} * \frac{4}{4} = \frac{16}{20}$

$\frac{7}{10} * \frac{2}{2} = \frac{14}{20}$

$\frac{10}{20} + \frac{16}{20} - \frac{14}{20}$

Add $\frac{10}{20} + \frac{16}{20} = \frac{26}{20}$
$\frac{26}{20} - \frac{14}{20} = \frac{12}{20}$

To simplify, you must find the largest common factor which 4
In $\frac{12}{20}$
12÷4=3 and 20÷4=5

The answer is $\frac{3}{5}$

7 0

3 years ago

A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed

Natali [406]

Answer:

$t=\frac{1.17-1.04}{\sqrt{\frac{0.11^2}{8}+\frac{0.09^2}{8}}}}=2.587$

$df=n_{1}+n_{2}-2=8+8-2=14$

Since is a one sided test the p value would be:

$p_v =P(t_{(14)}>2.587)=0.0108$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, we have enough evidence to reject the null hypothesis on this case and the 25 mil film have a mean greater than the 20 mil film so then the claim is not appropiate

Step-by-step explanation:

Data given and notation

$\bar X_{1}=1.17$ represent the mean for the sample 1 (25 mil film)

$\bar X_{2}=1.04$ represent the mean for the sample 2 (20 mil film)

$s_{1}=0.11$ represent the sample standard deviation for the sample 1

$s_{2}=0.09$ represent the sample standard deviation for the sample 2

$n_{1}=8$ sample size selected for 1

$n_{2}=8$ sample size selected for 2

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if reducing the film thickness increases the mean speed of the film, the system of hypothesis would be:

Null hypothesis: $\mu_{1} \leq \mu_{2}$

Alternative hypothesis: $\mu_{1} > \mu_{2}$

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{1.17-1.04}{\sqrt{\frac{0.11^2}{8}+\frac{0.09^2}{8}}}}=2.587$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n_{1}+n_{2}-2=8+8-2=14$

Since is a one sided test the p value would be:

$p_v =P(t_{(14)}>2.587)=0.0108$

4 0

3 years ago

Find the missing measure

SCORPION-xisa [38]

Answer:

93 degrees

Step-by-step explanation:

first, lets add 38+49 to see the sum

38+49=87

since the sum of all three angles in every triangle equals 180, we can subtract this sum from 180 to get the answer

180-87=93

so the missing angle would be 93

6 0

3 years ago

Read 2 more answers

Al bought a fishing pole for 60% off its original price of $97. If the tax was 4% (of the sale price), how much did Al pay for t

choli [55]

Answer:

$40.35

Step-by-step explanation:

60% off of the fishing poles price means Al payed for 40% of the original price. (So, you multiply 97 by .40 - And you get 38.8)
For the tax you multiply 38.8 times .04- You should get 1.552
Lastly, add 38.8 and 1.522 together.

8 0

3 years ago

Find the simple interest for a $3000 loan for 3 years at a rate of 5% (Formula: I=Prt)​

Find the simple interest for a $3000 loan for 3 years at a rate of 5% (Formula: I=Prt)