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Katarina [22]
3 years ago
10

jacob received $500 for christmas from his parents, he wants to put it into an account that will pay him 7.75% interest each yea

r. if he wants to withdraw all his funds at the end of the year. how much will he withdraw
Mathematics
1 answer:
disa [49]3 years ago
7 0

Answer:

He will have $538.75 after one year.

Step-by-step explanation:

First we need to find how much is 7.75% of 500. We can find it by multiplying 500 x .0775

This equals 38.75

That means after one year, he has $38.75 more.

500+38.75=538.75

He will have $538.75 after one year.

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Which value of b would make x²+bx-30 factorable?<br> A. -31<br> B. -17<br> C. 11<br> D. 13
dimulka [17.4K]

Answer:

D. 13

Step-by-step explanation:

well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-

x= -b±\sqrt{b^{2}-4ac} /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since \sqrt{13^{2}-4*1*(-30) = \sqrt{289} = 17. So b=13.

5 0
4 years ago
Read 2 more answers
This is converting to polar form, I need help and the answer too.
Mila [183]

Answer:

2 cis (7/6 pi)

Step-by-step explanation:

r = sqrt( a^2 + b^2)

r = sqrt (-sqrt(3) )^2 + (-1)^2)

   = sqrt(3 +1)

    = sqrt(4)

    = 2

theta  = arctan (b/a)

theta = arctan (-1/-sqrt(3))

theta = 30

but this is in the third quardrant  -a and -b

so add 180

theta = 210 degrees

convert this to radians

210 * pi/180 = 210/180 * pi = 21/18 * pi = 7/6 * pi


r cis (theta)

2 cis (7/6 pi)

7 0
3 years ago
Simplify the following expression.
AlekseyPX

Answer:

The answer is cosx cot²x ⇒ the first answer

Step-by-step explanation:

∵ cot²x = cos²x/sin²x

∵ secx = 1/cosx

∴ cot²x secx - cosx = (cos²x/sin²x)(1/cosx) - cosx

  = (cosx/sin²x) - cosx

Take cosx as a common factor

∴ cosx[(1/sin²x) - 1] ⇒ use L.C.M

∴  cosx[1-sin²x/sin²x]

∵ 1 - sin²x = cos²x

∴ cosx(cos²x/sin²x) = cosx cot²x

6 0
3 years ago
Gary surveys all of his classmates for a project.
postnew [5]

Answer:

A and D

Step-by-step explanation:

Statisical questions have to deal with numbers

B is age

C is year

E is a flavor of ice cream

6 0
3 years ago
Read 2 more answers
3x-1upon5 =x-1upon3<br> Solution for this linear equation
BabaBlast [244]

The solution to the linear equation is 2

<h3>How to solve the linear equation?</h3>

The linear equation is given as:

3x - 1 upon 5 = x - 1 upon 3

Rewrite properly as

(3x - 1)/5 = (x - 1)/3

Cross multiply

9x - 3 = 5x- 5

Evaluate the like terms

4x = 8

Divide by 4

x = 2

Hence, the solution to the linear equation is 2

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

7 0
1 year ago
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