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OLEGan [10]
2 years ago
12

2. You decide to vest $100 into a savings account with an interest rate of 2% annually in 2015. The amount of money in your savi

ngs account in a given year can be mogeled by the following function. P(t) = 100(10).0076 a. lue P(0) and explain what it means in this context. (2pts) O b. Approximately how many years will it take for the amount of money in yout bank account reach $140? Round your answer to the nearest year Show all work (2pts) y​
Mathematics
1 answer:
serious [3.7K]2 years ago
8 0

Answer:

gadgets 3that 3and 3I 3I I 3the 3have to you bhaiya se

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
BlackZzzverrR [31]

Answer:

\boxed{\sf a = 9 }

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

\sf\longrightarrow 3x - 2y +7=0

\sf\longrightarrow 6x +ay -18 = 0

Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}

and ,

\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

\sf\longrightarrow Slope_1 = \dfrac{3}{2}

And the slope of the second line is ,

\sf\longrightarrow Slope_2 =\dfrac{-6}{a}

Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1

Multiply ,

\sf\longrightarrow \dfrac{-9}{a}= -1

Multiply both sides by a ,

\sf\longrightarrow (-1)a = -9

Divide both sides by -1 ,

\sf\longrightarrow \boxed{\blue{\sf a = 9 }}

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

8 0
2 years ago
Please help me with my math problems
natulia [17]

Answer:

is it subtraction or addition?

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is 25 percent of 32?
vitfil [10]

Answer:

1.28 or 128

Step-by-step explanation:

you would take 32 and divide it by.25

6 0
3 years ago
Pavel, Ruth and Josh have part-time jobs.
MrMuchimi
M+m+z/3=3m
m+m+z=9m
2m+z=9m
z=7m
m+m+7m/3=3m
9m=9m
m=1
1+1+z/3=3
2+z=9
z=7
idk but i think that one person gets paid 7 dollars and the other ppl get paid 1 dollar----- this is probably veryyyyy wrong


8 0
3 years ago
The number of days, d, to build a house is given by
Alenkasestr [34]

Answer:

Step-by-step explanation: 7 more workers

6 0
2 years ago
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