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
Arlecino [84]
3 years ago
8

Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, a

nd Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?
Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
The formula is
A=p (1+rt)
A future value
P present value
R interest rate
T time in years

Rose investment
A=2,600×(1+0.041×9)
A=3,559.4

Dennis investment
A=2,200×(1+0.057×9)
A=3,328.6

So Rose investment is greater than Dennis investment by
3,559.4−3,328.6=230.8

Hope it helps!
You might be interested in
Exponent Laws - difference between product law and product raised to a power (with formula please)
enyata [817]

Answer:

Exponent laws:

1. Product law

x^{a}\times x^{b}\times x^{c}=x^{a+b+c}

In product law if bases are same then we add their respective powers.But if bases are different we can't add their powers.

x=base, a,b,c=exponent

If x=2 and a=3, b=5 , and c=10, then

2^{3}\times2^{5}\times2^{10}=2^{3+5+10}=2^{18}

2.Product raised to a power

1. [x^{a}]^{c}=x^{ac}

2. [x^{a}\times x^{b}]^{c}=[x^{a+b}]^{c}=x^{ac+bc}

If product is raised to a certain power , keeping the base same , we just multiply the powers.for example

[2^{3}]^{4}=2^{3\times4}=2^{12} and

[2^{3}\times3^{2}]^{2}=[2^{3}]^2 \times[3^{2}]^{2}=2^{6}\times3^{4}

[2^{3}\times2^{2}]^{2}=[2^{3+2}]^{2}=[2^{5}]^{2}=2^{10}



7 0
3 years ago
Based only on the given information, it is guaranteed that AB is perpendicular to CD. True or false
Musya8 [376]

Answer:

true

Step-by-step explanation:

because CD divided AB into equal halves, so they are of course perpendicular.

3 0
3 years ago
Read 2 more answers
Find the measure of angle N.<br><br> A. 150°<br><br> B. 8°<br><br> C . 90°<br><br> D. 294°
oee [108]

Answer:

\angle N=150\degree

Step-by-step explanation:

The sum of interior angles of a 5-sided polygon is 540 degrees.

We sum all the angles to get:

<M+<L+<N+<O+<P=540

90+90+(17x+4)+(18x+6)+(10x-10)=540

45x+180=540

45x=540-180

45x=360

x=8

N=18*8+6

\angle N=150\degree

8 0
3 years ago
Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been
poizon [28]

Answer:

Her new monthly payment is now $1,378.91¢

Step-by-step explanation:

  For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.

The formula is:-

          M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]

  Where M is the monthly mortgage payment.

              P is the principal

              r is the monthly interest rate calculated by dividing your annual interest rate by 12

             n is the number of payments(the number of months you will be paying the loan).

 In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

   = 5.17%/2

   = 0.431%

  This is the new monthly  interest rate.

  Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

   300 is therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage is now complete.

P = $231,905.47¢

r  = 0.431%

n = 300

             

 M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]

     = 231,905.47[\frac{0.00431(3.634)}{2.634}]

     = 231,905.47 × 0.005946

   M  = $1,378.91¢      

   Therefore her new monthly mortgage payment will become $1,378.91¢

4 0
3 years ago
Read 2 more answers
(01.02)
Bas_tet [7]

Step-by-step explanation:

it is option c. you interchange the value with y and take inverse.

8 0
3 years ago
Other questions:
  • Find the product. (5/6)(5/8)(3/2)
    6·1 answer
  • Consider the points below. P(0, −4, 0), Q(5, 1, −3), R(5, 2, 1) (a) Find a nonzero vector orthogonal to the plane through the po
    14·1 answer
  • The shampoo you like to use is on sale. But you only get the lower price if you buy 3 bottles. You want to know how much you'll
    14·2 answers
  • What are the coeffecients in 14x^2+x-12
    11·1 answer
  • HURRY AND PLEASE HELP PLEASE
    11·1 answer
  • 4 mi = ft. help fast please
    7·2 answers
  • PLEASE HELP! Given that (1,-8) is on the graph of f(x), find the corresponding point for the function 1/2f(x)
    12·1 answer
  • Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse DF is 13, the length of E F is 5, and the length
    13·1 answer
  • Use the graph below to determine the number of solutions the system has. 2x = 2y - 6 and y = x - 2
    8·1 answer
  • Edward deposited $10,000 into a savings account 3 years ago. The simple interest rate is 4%. How
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!