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1 year ago

I dont know…………………..

Mathematics

1 answer:

Marysya12 [62]1 year ago

5 0

Answer:

$-3\sqrt{3}$

Step-by-step explanation:

$-4\sqrt{12}+\sqrt{75}$

$-4\sqrt{4*3}+\sqrt{25*3}$

$-4\sqrt{4}\sqrt{3}+\sqrt{25}\sqrt{3}$

$-4(2)\sqrt{3}+5\sqrt{3}$

$-8\sqrt{3}+5\sqrt{3}$

$-3\sqrt{3}$

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Madeline received $300 for her birthday. She deposits it into a savings account with an interest rate of 2.45%. She makes monthl

oee [108]

Answer:

b. $1,587.57

Step-by-step explanation:

A financial calculator will tell you the value of Madeline's account after 8 years will be $16,287.57. In that time, she will have deposited ...

$300 +96×150 = $14,700

The interest earned is the difference between her account balance and the amount she deposited:

$16,287.57 -14,700 = $1,587.57 . . . interest earned

_____

Account value calculation

The future value of the initial $300 deposit after 8 years is ...

A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

A = $300(1 +0.0245/12)^(12·8) ≈ $364.89

The future value of the sum of $150 deposits monthly (at the beginning of the month) will be ...

A = $150((1+r/n)^(nt) -1)(1 +n/r) = $15,922.68

So, the total value of Madeline's account in 8 years is ...

$364.89 +15,922.68 = $16,287.57

_____

Comment on account value

In problems of this nature, it is always necessary to determine when the deposits are made relative to when the account value is measured. Here, we assume the $300 deposit is immediate, and its value is measured 8 years hence.

The monthly deposits are not described in that detail. In order to get any of the numbers in the answer list, we need to assume the deposits are at the beginning of the month. If we assume they are at the end of the month, the amount of interest is reduced by about $33.18, the last month's interest.

7 0

2 years ago

If 3x – 10 = 17, what is the value of 6x + 20 ?

IceJOKER [234]

$3x-10=17\ \ \ \ /+10\\\\3x-10+10=17+10\\\\3x=27\ \ \ \ /:3\\\\3x:3=27:3\\\\x=9\\\\\\\\6x+20=6\cdot9+20=54+20=74$

$3x-10=17\ \ \ /\cdot2\\\\2\cdot3x-2\cdot10=2\cdot17\\\\6x-20=34\ \ \ \ /+40\\\\6x-20+40=34+40\\\\6x+20=74$

3 0

2 years ago

Read 2 more answers

Use the distributive property to find the missing number. __× (9 + 8) = (15 × 9) + (15 × 8)

BARSIC [14]

Answer:

The missing number is 15

5 0

2 years ago

Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samu

Afina-wow [57]

Find a common denominator which is 12

1*3=3 4*3=12 so 3 3/12

then 5*2=10 6*2=12 so 2 10/12

2 10/12+3 3/12= 5 13/12

13/12= 1 1/12 plus 5= 6 1/12

so your answer would be 6 1/12

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2 years ago

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Two isosceles triangles are shown above. If b = 180-4a and a=35, What is the value of c?

Ymorist [56]

Answer:

a=35 given

b=40

c=110

I couldn't complete see c. Please look at the picture to see what I assumed it to be.

Step-by-step explanation:

Hmmm... I guess a and b are not vertical.

We are given b=180-4a and a=35 so b=180-4(35)=180-140=40.

So b=40.

Isosceles triangles always have congruent base angles. So let's call both of the base angles in the bottom triangle x.

That means x+x+40=180.

We need to solve this for x.

Combine like terms:

2x+40=180

Subtract 40 on both sides:

2x=140

Divide both sides by 2:

x=140/2

Simplify:

x=70

So I'm assuming that c and it's adjacent angle are sitting on a straightedge together which means 70+c=180.

70+c=180

Subtract 70 on both sides:

c=180-70

Simplify:

c=110

4 0

2 years ago