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ioda
3 years ago
7

You borrow $350 from a friend the first week and pay the friend back $25 week thereafter

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
8 0
It will take 14 weeks to pay him back

navik [9.2K]3 years ago
5 0
It will take 14 weeks to pay the friend back
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3(9z+4) &gt; 35z - 4<br> What is z
attashe74 [19]

3(9z+4) > 35z - 4

27z + 12 > 35z - 4

12 + 4 > 35z - 27z

16 > 8z

\frac{16}{8}  > z

2 > z

4 0
2 years ago
when asked to factor the trinomial 8x2-8x-16, a student gives the answer (x-2)(x+1. What is one thing wrong with this answer?
VashaNatasha [74]
One thing wrong is there is not closing parenthasees after x+1
and also, if you multiply it out, the answer is not 8x^2-8x-16 so the factored form given is worng

the real factored out form is 8(x-2)(x+1)
that person forgot the 8 in the front
5 0
3 years ago
HELPPPP 100 points if you help!!!!
nignag [31]

Answer:

Part A)

Chorus:

c(t)=15(1.12)^t

Band:

b(t)=2t+30

Part B)

After 9 years:

The chorus will have about 41 people.

And the band will have 48 people.

Part C)

About approximately 11 years.

Step-by-step explanation:

We are given that there are 15 people in the chorus. Each year, number of people in the chorus increases by 12%. So, the chorus increases exponentially.

There are 30 people in the band. Each year, 2 new people join the band. So, the band increases linearly.

Part A)

Since after each year, the number of people in the chorus increases by 12%, the new population will be 112% or 1.12 of the previous population.

So, using the standard form for exponential growth:

c(t)=a(r)^t

Where <em>a</em> is the initial population and <em>r</em> is the rate of change.

We will substitute 15 for <em>a </em>and 1.12 for <em>r</em>. Hence:

c(t)=15(1.12)^t

This represents the number of people in the chorus after <em>t</em> years.

We are given that 2 new people join the band each year. So, it increases linearly.

Since there are already 30 people in the band, our initial point or y-intercept is 30.

And since 2 new people join every year, our slope is 2. Then by the slope-intercept form:

b(t)=mt+b

And by substitution:

b(t)=2t+30

This represents the number of people in the band after <em>t</em> years.

Part B)

We want to find the number of people in the chorus and the band after 9 years.

Using the chorus function, we see that:

c(9)=15(1.12)^9\approx41.59\approx41

There will be approximately 41 people in the chorus after 9 years.

And using the band function, we see that:

b(9)=2(9)+30=48

There will be 48 people in the band after 9 years.

Part C)

We want to determine after approximately how many years will the number of people in the chorus and band be equivalent. Hence, we will set the two functions equal to each other and solve for <em>t</em>. So:

15(1.12)^t=2t+30

Unfortunately, it is impossible to solve for <em>t</em> using normal analytic methods. Hence, we can graph them. Recall that graphically, our equation is the same as saying at what point will our two functions intersect.

Referring to the graph below, we can see that the point of intersection is at approximately (10.95, 51.91).

Hence, after approximately 11 years, both the chorus and the band will have approximately 52 people.

5 0
3 years ago
Select all the distribution shaped for which the mean and median must be about the same.
irga5000 [103]

The distribution shaped for which the mean and median must be about the same will be:

D. Symmetric

E. uniform

<h3>How to illustrate the information?</h3>

In a symmetric distribution, the median is equal to the mean. The bell-shaped distribution is same as the standard normal distribution.

In a right-skewed distribution, the median is much less than the mean and a bimodal distribution is one with two modes.

Therefore, the correct options are D and E.

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

3 0
2 years ago
I would gladly appreciate it
IrinaVladis [17]

Answer: D

Step-by-step explanation: Complementary angles add up to 90 degrees supplementary add up to 180 degrees and vertical angles  are like CAF and DAE like how they're diagonal

7 0
3 years ago
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