Anna inherits $70000 and decides to invest part of it in an education account for her daughter and the rest in a 5 year CD. If the amount she puts in the education account is $10000 more than three times the amount she puts in the CD, how much money does Anna invest in each account?

Question

16-06-2018
Mathematics

contestada

Anna inherits $70000 and decides to invest part of it in an education account for her daughter and the rest in a 5 year CD. If the amount she puts in the education account is $10000 more than three times the amount she puts in the CD, how much money does Anna invest in each account?

Respuesta :

Otras preguntas

What are 2 serious flaws in black box algorithms that could be detrimental to the job market in the future?

In a computer game, players earn points by collecting ducks and frogs. The picture below shows the ducks and frogs Sheila collected the first time she played th

Equired: Discuss the CGT consequences of Marnie selling her rental property (citing authority where appropriate). You are not required to discuss the applicatio

Let f(x,y) = sinπxcosπy be a surface and R is the region described by 0 ≤ x ≤ 1/4,1/4 ≤ y ≤ 1/2(a) Draw the surface f(x,y) by using phyton

anabolic steroids are sometimes used by athletes to increase strength. A forensic chemist analyzes some tablets suspected of being popular steroid. He determine

This inhalation toxicologist studied the effects of the Donora "inversion". a. Thomas Ramazzini b. Mary Amdur c. John Herrock d. Alice Hamilton

Joe thinks of a number, n, trebles it, and subtracts 5. The result is 22. Write this as an equation in terms of n, and solve the equation.

Question 2 (1 point) How did the Maya survive their arid environment? They used irrigation canals. They dug deep wells. They hauled water from the coast. They f

What was one mistake you've made as a nursing student and how did you learn from it? 2 examples

In what way are Wordsworth's two poems, "Lines Composed a Few Miles Above Tintern Abbey' and the excerpt from The Prelude, similar to Keats's "Ode to a Nighting

jdoe0001 jdoe0001 · Answer 1 · 2018-06-16T00:26:02+02:00

E = amount she put for Education

CD = amount she put for a Certificate of Deposit.

so, whatever those amounts are, we know that all she got is 70,000 bucks total, so E + CD = 70000.

how much is three times the CD? well, 3*CD or 3CD.

how much is 10,000 more than that? well 3CD + 10000.

since we know that the amount on Education was 10000 more than three times the CD, then E = 3CD + 10000.

[tex]\bf \begin{cases} E+CD=70000\implies \boxed{CD}=70000-E\\ E=3CD+10000\\ ------------------\\ E=3\left( \boxed{70000-E}\right)+10000 \end{cases} \\\\\\ E=210000-3E+10000\implies 4E=200000\implies E=\cfrac{200000}{4} \\\\\\ E=50000[/tex]

how much was it invested in the CD? well, CD = 70000 - E.

taylorleigh823 taylorleigh823 · Answer 2 · 2018-06-18T04:14:48+02:00

taylorleigh823 taylorleigh823

18-06-2018

You want 3 times the cd, so 3x. Then 10000 more so +10000. Your total is 70000.

[tex]3x+10000+x=70000 \\ \\ 4x+10000=70000 \\ \\ 4x+10000-10000=70000-10000 \\ \\ 4x=60000 \\ \\ \frac{4x}{4} =\frac{60000}{4} \\ \\ x=15000 \\ \\ 15000+3(15000)+10000=70000 \\ \\ 15000+45000+10000=70000 \\ \\ 15000+55000=70000 \\ \\ 70000=70000[/tex]

So the CD is $15,000
Education = 70000 - 15000
Education = $55,000

Answer Link