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3 years ago

13

An increase of 65% followed by a decrease of 35%

1 answer:

igor_vitrenko [27]3 years ago

5 0

Answer:

huh? it would be 30% the instructions are a little unclear

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-6 + (-2) + 5= ? <br><br> Help would really be appreciated!! :)

kvasek [131]

Answer:

-3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Match the graph of the function with the function rule.

mylen [45]

Answer:

$y = 10( {4}^{x} )$

Step-by-step explanation:

From the given exponential graph, the y-intercept is (0,10).

The only exponential function that, has this intercept is

$y = 10( {4}^{x} )$

Because when x=0, we obtain:

$y = 10( {4}^{0} )$

Simplify:

$y = 10(1) = 10$

6 0

3 years ago

Three friends each have a balance of $5,000 on their credit cards with a 25% APR. They've decided that they will not make any ot

egoroff_w [7]

Answer:

Sharon=700per month Cecelia=2000per month Alexander=4000 per month

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2 years ago

Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

as

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

as

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

as

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

so

$=1860-330$

$=1530$

7 0

4 years ago

Anyone know how to do #41?

KatRina [158]

Power rule. d/dx(x^n) = nx^(n-1)
We can pull the 5 out and multiply it back in later.

d/dx(x^2) = 2x

2(10) = 20*5 = 100

7 0

3 years ago