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
Elden [556K]
3 years ago
9

The expression for the amount of money earned on a savings account compounded quarterly is given by the expression x(1.1)^4t, wh

ere x represents the principal and t is the time in years since the principal was invested. Which expression is the equivalent form of the given expression and shows the amount earned when the interest is compounded half- yearly?
A. x(1.4641)^t

B. x(1.4641)^2t

C. x(1.21)^t

D. x(1.21)^2t
Mathematics
1 answer:
posledela3 years ago
4 0
Selection D is the equivalent form of the given expression.


_____
The nominal annual interest rate in this problem is 40%. If it were compounded half-yearly, the formula would be x(1.2)^(2t) or x(1.44)^t. Apparently, this problem is more concerned with the equivalent form of the expression than it is with half-yearly compounding.
You might be interested in
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
Yakvenalex [24]

Answer:

  AH = 1 or 4

  CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

3 0
3 years ago
ROUND 3.05947821031 TO THE NEAREST WHOLE NUMBER HELP
Alexus [3.1K]
3 because the next number to the right is a 0 and will not be rounded up.
6 0
3 years ago
Read 2 more answers
James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long
katen-ka-za [31]

Answer:

a) ~10.58 km/h

b) 45 min

c) 15 km/h

Step-by-step explanation:

a) 45km for 4 hours and 15min (4.25 hours) = 45 / 45.25 ~= 10.58 km/h

b) From 4:15 to 5 = 45min

c) 45km for 3 hours (5:00 to 8:00) = 45 / 3 = 15 km/h

NOTE!

The author actually wanted the answer on A) to be 10 km/h and the journey to be 4.5 hours (4 hours 30min) but instead they made it 4.25 (as shown on the graph, since 1 square is 30 minutes).

5 0
3 years ago
Lillian me made 6 out of every 10 baskets she attempted during basketball practice. If she attempted 25 baskets how many did she
Olegator [25]
14 or 15 is the answer i believe 

6 0
3 years ago
Read 2 more answers
A recipe requires 5/6 of a cup of sugar. If mrs.Marina is going to make one half of the recipe, how much sugar does she need
NemiM [27]

Answer:

Half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.

Step-by-step explanation:

As given

A\ recipe\ requires\ \frac{5}{6}\ of\ a\ cup\ of\ sugar.

i.e

\frac{5}{6}\ cup\ of\ sugar = 1\ recipe

As the  mrs.Marina is going to make one half of the recipe .

Thus\ multiply\ above\ by\ \frac{1}{2}.

We get

\frac{5\times 1}{6\times 2}\ cup\ of\ sugar = \frac{1}{2}\ recipe

solving the above

\frac{5}{12}\ cup\ of\ sugar = \frac{1}{2}\ recipe

Therefore\ half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.



7 0
3 years ago
Other questions:
  • Hello I need help...!!
    10·2 answers
  • ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
    15·1 answer
  • How much will hi pays in total
    13·1 answer
  • What is this answer ​
    9·1 answer
  • Jess made 3 different stacks of wooden blocks The first stack was 7 blocks high the second stack was 3 blocks higher than the fi
    6·1 answer
  • Leila's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Leila $5.85 per pound, and type
    13·1 answer
  • 2. 1. A Popcorn machine makes 32x + 64 ounces, where x is the number of minutes that the machine is running. The table below rep
    8·1 answer
  • Y + (−14) when a y=−33 b y=30
    8·1 answer
  • True or False: Every fraction has a limited number of equivalent fractions.
    6·2 answers
  • Two angles are supplementary. If one measures 125°, what is the measure of the other<br> angle?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!