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atroni [7]
2 years ago
5

Amanda's parents invested $10,000 into a savings account for her college fund when she was born. The savings plan compounds inte

rest yearly at a rate of 3.75%. How much money will be in Amanda's college fund when she turns 18? Round your answer to the nearest cent.
A. $19,399.29
B. $19,149.68
C. $20,146.75
D. $20,652.19
Mathematics
1 answer:
Inessa05 [86]2 years ago
8 0

Answer:

A. $19.399.29

Step-by-step explanation:

to be honestly, i don't know how to do this in my head or if there is any formulae to that, every year when interest adds to principal it would makes the principal more and there would be a new amount of interest, but there is a compound interest calculator on internet, i typed the number in and it tells me the answer.

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Questions 2 & 4 please help me
Andreas93 [3]
2. He can break his strand of 10 blocks into 3 3 times 4. I think it is 74 blocks are needed.
4 0
3 years ago
Christian is planning a vacation and finds an airplane ticket that cost 180$. He found a promo code offering 17% off. Write a si
lesya [120]

Answer:

83/100 x 180

Step-by-step explanation:

We have to find the cost of the ticket after the discount.

100% - 17%= 83%

83% of the total percentage of the original price that he needs to pay.

So we do:

83/100 x 180

So, this would be the expression.

Hope this helps!:)

7 0
2 years ago
Please help differentiate this!!!!!!!!!
vlada-n [284]
\bf h=20ln(3t+2)+30\\\\
-------------------------------\\\\
\boxed{a}\\\\
\stackrel{0~years}{t=0}\qquad h=20ln[3(0)+2]+30\implies h=20ln(2)+30
\\\\\\
h\approx 43.86
\\\\\\
\boxed{b}\\\\
\stackrel{1~meter}{h=100}\qquad 100=20ln(3t+2)+30\implies 70=20ln(3t+2)
\\\\\\
\cfrac{70}{20}=ln(3t+2)\implies \stackrel{\textit{log cancellation rule}}{e^{\frac{7}{2}}=e^{ln(3t+2)}}\implies e^{\frac{7}{2}}=3t+2
\\\\\\
e^{\frac{7}{2}}-2=3t\implies \cfrac{e^{\frac{7}{2}}-2}{3}=t\implies 10.371817\approx t

\bf \boxed{c}\\\\
\cfrac{dh}{dt}=20\left(\cfrac{1}{3t+2}\cdot 3  \right)+0\implies \cfrac{dh}{dt}=20\left(\cfrac{3}{3t+2} \right)\\\\\\ \cfrac{dh}{dt}=\cfrac{60}{3t+2}
\\\\\\
\left. \cfrac{dh}{dt}  \right|_{3}\implies \cfrac{60}{3(3)+2}\implies \cfrac{60}{11}
\\\\\\
\left. \cfrac{dh}{dt}  \right|_{10}\implies \cfrac{60}{3(10)+2}\implies \cfrac{15}{8}
5 0
3 years ago
Read 2 more answers
In the late nineteenth century, the scientist Marie Curie performed experiments that led to the discovery of radioactive substan
gtnhenbr [62]

Answer:

Step-by-step explanation:

Half life is the time taken by a radioactive substance to reduce of half of its original size

If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years

if we are given N0 = 1000grams

The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g

<em>Hence 500 grams of radium will be left after 600years</em>

5 0
3 years ago
A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha
gogolik [260]

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

8 0
2 years ago
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