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Genrish500 [490]
3 years ago
11

When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his ho

urly rate increases by $0.50. Joseph's hourly rate R, in dollars is a function of T, the number of years he works at the grocery store.
Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

Answer: R(t) = 10 + 0.50t

Step-by-step explanation:

From the question, we've been informed that Joseph's hourly rate is $10 and that for every year he works at the grocery store, his hourly rate increases by $0.50.

Therefore, the function will be

R(t) = 10 + 0.50t

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In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride mus
ELEN [110]

Answer: a) 240, b) 480, c) 360

Step-by-step explanation:

Since we have given that

Number of people = 6

Number of bride and groom = 2

So, remaining people = 6-2 = 4

So, using the fundamental theorem of counting

remaining people can be arranged in

4!=4\times 3\times 2\times 1=24

Since bride has 5 positions to stand and grooms too has 5 positions to stand.

so, Number of positions for both bride and groom = 5+5=10

So,  a) the bride must be next to the groom?

Number of ways = 24\times 10=240

b) the bride is not next to the groom?

Total number of ways would be

6!=6\times 5\times 4\times 3\times 2=720

So, Number of ways that the bride is not next to the groom is

720-240=480

c) the bride is positioned somewhere to the left of the groom?

If Groom is in second position, bride has 1 ways to stand

If Groom is in third position , bride has 2 ways to stand

If Groom is in fourth position, bride has 3 ways to stand

If Groom is in fifth position, bride has 4 ways to stand

If Groom is in sixth position, bride has 5 ways to stand.

So, Number of ways to stand = 1+2+3+4+5=15

So, the total number of ways bride is positioned somewhere to the left of the groom is given by

24\times 15=360

Hence, a) 240, b) 480, c) 360

5 0
4 years ago
Help i need answers for these problems pls
motikmotik

use the pythagorean theorem

4 0
4 years ago
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books
laila [671]
Let, the number of books on Monday = m
On Tuesday = 2m
On Wednesday = 2m - 6

Equation: m + 2m + (2m - 6) = 19
You can solve it:
5m = 19 + 6
m = 25/5
m = 5

In short, He sold 5 books on Monday

Hope this helps!
7 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Clarge%7B%5Cbold%20%5Cred%7B%20%5Csum%20%5Climits_%7B8%7D%5E%7B4%7D%20%7Bx%7D%5E%7B2%7D%2
kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed a\leq x \leq b and in your case \nexists x\in\mathbb{Z}: a\leq x\leq b for a>b

In fact, considering a set S we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing $ that satisfy S = S \cup \varnothing

This means that, by definition \sum_{x=a}^b \varnothing = 0

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

we have other problems. Actually, this case is really bad.

Note that \cos^2(\infty) has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$, the cosine function oscillates between [-1, 1] , and therefore it is undefined. Thus, we cannot evaluate

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0
3 years ago
Lacy opened a savings account and deposited $100. The account earns 6% interest compounded monthly if she wants to use the money
Dafna11 [192]

Answer:

Future Value= $112.72

Step-by-step explanation:

Giving the following information:

Initial deposit (PV)= $100

Number of periods (n)= 2*12= 24 months

Interest rate (i)= 0.06/12= 0.005

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 100*(1.005^24)

FV= $112.72

5 0
3 years ago
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