1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgen [1.6K]
2 years ago
8

Hurry A total of $6000 is invested: part at 5% and the remainder at 10%. How much is invested at each rate if the annual interes

t is $510?
Mathematics
1 answer:
Virty [35]2 years ago
3 0

Answer:

Step-by-step explanation:

We know a total of 6000 is being turned into 510, in two accounts which equal to 15%, to find how much is in each account we can create the following equation:

5x+10x=510

Solve for x

15x=510\\x=34

Now multiply x by the corresponding percentages to find how much was invested into each percentage.

34*5=170

34*10=340

Therefore we now know that 170 dollars was invested into the 5% division, and 340 dollars was invested into the 10% division.

We can of course check our answer by adding 170+340 which equals our original investment of 510.

You might be interested in
5. Sabrina put $3,000 into a Money Market (high-yield savings)
tangare [24]

let me answer the last one first

compound interest is just an exponential sequence really, where the next value is some exponential amount of the previous.

hmmm that can happen in say, a bouncing ball, the 1st bounce is high, let it keep on boucing by itself and the next bounce is usually a compounded value of the previous one, since it's smaller it'd be a Decay type of equation.

hmmm it also happens in say population growth, of any organism, humans, bees, amoebas.

now let's do the others

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=3000\left(1+\frac{0.026}{4}\right)^{4\cdot t}\implies \boxed{A=3000(1.0065)^t} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{after 15 years}}{t=15}\hspace{5em} A=3000(1.0065)^{15}\implies A\approx 3306.19 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3000e^{0.026\cdot 15}\implies A=3000e^{0.39}\implies A\approx 4430.94

6 0
2 years ago
Solve 4x - 13 = 17 + 8x
saveliy_v [14]

Answer:

-15/2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Is 0.111 rational or irrational
Sauron [17]
I belive it is rational
5 0
3 years ago
Read 2 more answers
a bird flies from the ground to the top of a tree, sits there and sings a song for a while, flies down to the top of a picnic ta
melomori [17]
Picnic table to eat crumpbs left behind
3 0
3 years ago
How is the number two in 582 different from the number two and 528
bogdanovich [222]
Eight and 2 have different place values in the numbers
4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help. 20 points Solve for t.
    15·2 answers
  • Maggie bought 30 pounds of produce to feed her hungry hippopotamus. Bananas cost $1 per pound; guavas cost $2 per pound; and dra
    10·1 answer
  • Solve for X<br> What kind of angle<br> Substitute back In
    8·2 answers
  • Help meh plz!!!!! will give brainlest if correct
    9·1 answer
  • Victoria’s copier can make 30 copies in 1/2 a minute. How many copies can it make in 18 minutes?
    11·1 answer
  • 32 times 64<br> Pineapple
    9·1 answer
  • If you can walk 5.8 miles in 4.3 hours, how many minutes does it take to walk 0.64 miles? Round to 1 decimal.
    11·1 answer
  • Suppose you have a score that puts you 1.1 standard deviations below the mean. What is your percentile score?
    7·1 answer
  • If a $1000 computer is marked off 35%, what is the sale price?
    8·2 answers
  • An item is regularly priced at $55. It is on sale for 20% off the regular price. What is the sale price?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!