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aivan3 [116]
3 years ago
11

Simplify 7(x + 3). how could i find the answer to this question?

Mathematics
2 answers:
padilas [110]3 years ago
5 0

7(x + 3) = 7x + 21

------------------------


julia-pushkina [17]3 years ago
5 0
You multiply the 7 by both the x and 3
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Im so confused please help me quickly
torisob [31]

Answer:

a

Step-by-step explanation:

8 0
2 years ago
Todd foley is applying for a 100,000 mortgage. he can get a 600 monthly payment for principal and interest and no points, or a 5
Aleks [24]

Answer:

D. 25

Step-by-step explanation:

The 2 points cost Foley 2% × $100,000 = $2000. He saves $600 -520 = $80 per month, so it will take him

... $2000/($80/mo) = 25 mo

to save the cost of the points.

3 0
4 years ago
On January 1, 1985, Marc has the following two options for repaying a loan:
Aliun [14]

Answer:

The correct answer is

K = 29.0123 months

Step-by-step explanation:

The given variables are interest at 12 % monthly compounded

to find the number of months

Compound interest = A=P(1+\frac{r}{n})^{nt}and

A = Future value.

P= Principal, initial value amount,  

r= Interest rate

n= number of time units,

t = time

and  F = P(1+i)^{n}where

P = principal,

i = interest,

F = Future sum payment

n = number of payment time units

The two options have the same eventual value

Therefore we have

100(1+\frac{r^{-60} }{n}) = 6000*((1+.01)^{-K})

100(\frac{1-1.01^{-60} }{.01}) = 6000*((1+.01)^{-K})

Taking natural logarithm of both sides we have

K= -(㏑(10/6)+ln(1-1.01^{-60}))/㏑(1.01)  = 29.0123 months

Alternatively we have

3 0
3 years ago
An automobile owner found that 20 years ago, 72% of Americans said that they would prefer to purchase an American automobile. He
LenaWriter [7]

Answer:

z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395  

Now we can find the p value taking incount that we are using a bilateral test

p_v =2*P(z>2.395)=0.01662  

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile  is significantly different from 0.72 and then the claim is correct

Step-by-step explanation:

Information given

n=43 represent the random sample taken

X=38 represent the Americans who they would prefer an American automobile

\hat p=\frac{38}{43}=0.884 estimated proportion of Americans that they would prefer an American automobile

p_o=0.72 is the value that we want to check

\alpha=0.1 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the percentage of Americans that they would prefer an American automobile  today differs from 72%, then the system of hypothesis are:

Null hypothesis:p=0.72  

Alternative hypothesis:p \neq 0.72  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395  

Now we can find the p value taking incount that we are using a bilateral test

p_v =2*P(z>2.395)=0.01662  

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile  is significantly different from 0.72 and then the claim is correct

5 0
3 years ago
What 2:3 what is the smallest angle
Arisa [49]

Answer: Three angles are in the ratio 2 : 3 : 5 The smallest angle is 50 degrees Work out the sizes of the other two angles

5 0
4 years ago
Read 2 more answers
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