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
vivado [14]
2 years ago
14

you have 1000 to invest in an account and you need to have 1500 in one year what interest rate would you need to have in order t

o reach this goal if the amount is compounded quarterly round your answer to the nearest percent. Can someone help me please

Mathematics
1 answer:
Anna007 [38]2 years ago
3 0

Answer: 42.7%

Step-by-step explanation:

A = p (1+r/n)^nt

1500 = 1000 (1 + r/4)^4x1

r = 42.673

You might be interested in
What is the length of the unknown side of the right triangle<br>13<br>17<br>25<br>60​
Elena L [17]

I think it’s 17 or 13

5 0
3 years ago
Read 2 more answers
A car is purchased for $30,000. The value of the car depreciates annually so that it is $24,000 after 1 year, $19,200 after 2 ye
lisabon 2012 [21]

Answer:

It annually drops by 20%

Step-by-step explanation:

30,000 multiplied by 20% is 6000. Subtract 6000 from 30,000 and you get 24,000. 24,000 multiplied by 20% is 4,800. Subtract 4,800 from 24,000 and you get 19,200. Etc.

8 0
2 years ago
Can you help me , would this answer be 1 ?
lidiya [134]

Step-by-step explanation:

Y=90° as its a right angled triangle

3 0
3 years ago
Read 2 more answers
The normal distribution An automobile battery manufacturer offers a 31/54 warranty on its batteries. The first number in the war
seraphim [82]

Answer:

1) if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.

2) a standard deviation of 6.0843 results in a 1.07% replacement rate

3) using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit

Step-by-step explanation:

based on the given data;

x will represent the random variable such that the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months

so

x → N( U = 45, ∝ = 5.6)

Under the warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charges to the consumer.

if the battery fails after 31 months but within 54 months, the manufacturer provides a prostrated credit towards the purchase of anew battery

1) If the manufacturer's assumptions are correct,

p(x < 3) = p( [x-u / ∝ ] < [ 31-45 / 5.6] )

= p( z < -2.5 )

using the standard normal table,

value of z = 0.0062 ≈ 0.62%

so if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.

2)

The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect, so a standard deviation of ? results in a 1.07%

so lets say;

p ( x < 31 ) = ( 1.07%) = 0.0107

p ( [x-u / ∝ ] < [ 31-45 / ∝] ) = 0.0107

now from the standard table

-2.301 is 1.07%

so

( 31 - 45 / ∝ ) = -2.301

-14 / ∝ = -2.301

∝ = -14 / - 2.301

∝ = 6.0843

therefore a standard deviation of 6.0843 results in a 1.07% replacement rate

3)

Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

p( 31 < x < 54 ) = p ( [31 - u / ∝ ] < [ x-u / ∝]  < [ 54 - 45 / ∝] )

= p ( [31 - 45 / 6.0843 ] < [ x-u / ∝]  < [ 54 - 45 / 6.0843] )

= p ( -2.301 < z < 1.4792 )

= p(Z < 1.5) - p(Z < -2.3)

= 0.9393 - 0.0108

= 0.919 ≈ 91.9%

therefore using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit

8 0
2 years ago
28x+42y=1162 solve for x and y
hammer [34]

x=−3/2y+83/2





Step-by-step explanation:


8 0
2 years ago
Other questions:
  • In order for RECT to be a rectangle, what must the value of x be?
    12·1 answer
  • There are four large groups of people, each with 1000 members. any two of these groups have 100 members in common. any three of
    15·1 answer
  • How do you find the x intercepts of 3x^(5/3) - 4x^(7/3)
    6·2 answers
  • Can anyone help me with this problem? If you can include the steps, please do! Thanks :)
    7·1 answer
  • What is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?
    10·1 answer
  • How much would $200
    7·1 answer
  • Dawn and Pablo are members of a normally distributed population that is being sampled. If the chance of Dawn being included in t
    6·2 answers
  • Help please! thank you!
    14·2 answers
  • Pls answer my question it is urgent
    12·1 answer
  • The sum of two numbers, one of which is two-third of the other, is 45. find the smaller number​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!