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
aleksandrvk [35]
3 years ago
7

Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.

Mathematics
2 answers:
Damm [24]3 years ago
6 0

Answer:

a R%/12 - 6(25%)

b 6 5/6

Step-by-step explanation:

Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point

SOLUTION

Let interest rate = R% per annum

each month it decreases by 1/4 point

for a month = R%/12

thus 1/4 = 1/4 x 100 = 25%

first month

R%/12 - 25%

for six months

R%/12 - 6(25%)

assume R = 100%

b total change  = 100/12 - 6 x 25/100

= 100/12 - 150/100 = 41/6 = 6 5/6

Maru [420]3 years ago
3 0

Answer:

FOR A: y=-1.5x

FOR B: \frac{-x}{2}

Step-by-step explanation:

A: Each month Interest rate decreases by \frac{1}{4} point.

B: Simplification

I honestly really hope this helps you!

You might be interested in
Simplify the expression to a + bi form:<br> (-7 - 3i) + (-5 + 10i)
Harman [31]

Answer:

-12+7i

Step-by-step explanation:

(-7-3i)+(-5+10i)

-7-3i-5+10i

-7-5-3i+10i

-12-3i+10i

-12+7i

Please mark me as Brainliest if you're satisfied with the answer.

6 0
2 years ago
Read 2 more answers
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1
svet-max [94.6K]

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that \mu = 8, \sigma = 1.1

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

n = 5 means that s = \frac{1.1}{\sqrt{5}} = 0.4919

This probability is the pvalue of Z when X = 9.3. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{9.3 - 8}{0.4919}

Z = 2.64

Z = 2.64 has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

n = 6 means that s = \frac{1.1}{\sqrt{6}} = 0.4491

This probability is 1 subtracted by the pvalue of Z when X = 9. So

Z = \frac{X - \mu}{s}

Z = \frac{9 - 8}{0.4491}

Z = 2.23

Z = 2.23 has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

8 0
3 years ago
a veterinarian purchases some medication for $19.50 and wants to make a $2 profit. what is the percent markup on this medication
MaRussiya [10]
11%

I multiplied the price by percentages up until I got a little over 2.
8 0
3 years ago
Which of the following ordered pairs are a solution to the equation y = 6x -3
OLEGan [10]

(0,-3)  (-4,-27)  (1,3) are the correct points

(4,61) <u>doesn't</u> work

4 0
2 years ago
I NEED HELP!!! You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the balance of the acco
Y_Kistochka [10]
12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
$495 ÷ $41.25 = 12 periods
Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.
5 0
2 years ago
Other questions:
  • Please help with this question
    5·2 answers
  • What is the simplified form of 3 over 4x plus 3 + 21 over 8 x squared plus 26x plus 15 ?
    7·2 answers
  • A sink fills with 2 liters of water every 2.5 minutes. what is the rate at which the sink is being filled?
    7·1 answer
  • Which number produces an irrational number when added to 1/2?
    6·1 answer
  • Write an expression for the sentence, 2 less than 9 times z
    8·2 answers
  • Help pls, this is due very quickly
    10·1 answer
  • Y’all I need help, MATH, please correct answer and how you did it:)
    11·2 answers
  • Clarissa needs a $2,500 loan in order to buy a new car. Which loan option would allow her to pay the least amount of interest
    7·1 answer
  • (a+b)²=?ahihihihihihihihihihihihi
    13·2 answers
  • Determine the value of x in the diagram. ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!