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1 year ago

PLZ HELP!!

Mathematics

2 answers:

grin007 [14]1 year ago

6 0

Answer:

1. The product of 58.25(4) means Lenard will have an additional $  174.75  saved  4  weeks (from now/ago).

2. The product of 58.25(–3) means Lenard had $ 166.5 (less)  (more/less)  3  weeks ago.

${}$

valentina_108 [34]1 year ago

3 0

1. The product of 58.25(4) means Lenard will have an additional $233 saved 4 weeks from now.

2. The product of 58.25(–3) means Lenard had $174.75 less 3 weeks ago.

The concept of saving $58.25 per week was adopted by Lenard.

On this note, after every week, Lenard will have $58.25 more than she had the previous week.

In essence, every week from now adds up $58.25 to Lenard's balance and every week ago takes off $58.25 from his current balance.

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Dont really understand how to do this

bija089 [108]

Answers:

$t_{10} = -22 \ \text{ and } S_{10} = -85$

========================================================

Explanation:

$t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2$

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

$t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4$

and so on. This process may take a while to reach $t_{10}$

There's a shortcut. The nth term of any arithmetic sequence is

$t_n = t_1+d(n-1)$

We plug in $t_1 = 5 \text{ and } d = -3$ and simplify

$t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8$

Then we can plug in various positive whole numbers for n to find the corresponding $t_n$ value. For example, plug in n = 2

$t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2$

which matches with the second term we found earlier. And,

$tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}$

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

The notation $S_{10}$ refers to the sum of the first ten terms $t_1, t_2, \ldots, t_9, t_{10}$

We could use either the long way or the shortcut above to find all $t_1$ through $t_{10}$ . Then add those values up. Or we can take this shortcut below.

$Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}$

The sum of the first ten terms is -85

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

As a check for $S_{10}$ , here are the first ten terms:

t1 = 5
t2 = 2
t3 = -1
t4 = -4
t5 = -7
t6 = -10
t7 = -13
t8 = -16
t9 = -19
t10 = -22

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that $S_{10} = -85$ is correct.

6 0

1 year ago

What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

vova2212 [387]

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

$m1*m2=-1$

Step 1

Find the slope of the given line

we have

$3y=-4x+2$

Solve for y

Divide by $3$ both sides

$3y/3=(-4x+2)/3$

$y=-\frac{4}{3}x+ \frac{2}{3}$

the slope of the given line is $m1=-\frac{4}{3}$

Step 2

Find the slope of a line that is perpendicular to the given line

we have

$m1=-\frac{4}{3}$

$m1*m2=-1$

$m2=-1/m1$

substitute the value of m1

$m2=-1/(-4/3)=\frac{3}{4}$

therefore

the answer is

the slope is $\frac{3}{4}$

4 0

3 years ago

Find the part of the number. * Find 3 1/16 of 32.

oee [108]

Answer:

Step-by-step explanation:

6 0

2 years ago

Can anyone help me on #3?? And explain?

Alekssandra [29.7K]

Since we know the polygons are similar, the side length ratio of each side must be equal.
13/5 = x/10
Multiply both sides by 10
x = 26
That's your answer. Have a nice day! :)

7 0

3 years ago

12.125 rounded to the nearest tenth.

nika2105 [10]

Answer: 12.1
Look at the hundredth place for rounding to tens and since it is less than 5 you drop the following numbers and keep the 1
:)

8 0

2 years ago