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
kari74 [83]
3 years ago
5

Dakota earned $15.75 in interest in Account A and $28.00 in Account B after 21 months. If the simple interest rate is 3.0 for Ac

count A 4.0% for Account B, which account had the greater principal? Explain
Mathematics
2 answers:
olasank [31]3 years ago
5 0
Account b had greater
klemol [59]3 years ago
3 0
Answer: account B had the greater capital.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount deposited.
P represents the principal or amount deposited
R represents interest rate
T represents the duration in years.
Considering account A,
I = $15.75
T = 21 months = 21/12 = 1.75 years
R = 3%
Therefore,
15.75 = (P × 3 × 1.75)/100
15.75 = 0.0525P
P = 15.75/0.0525
P = 300
Considering account B,
I = $28
T = 21 months = 21/12 = 1.75 years
R = 4%
Therefore,
28 = (P × 4 × 1.75)/100
28 = 0.07P
P = 28/0.07
P = $400
Therefore, account B had the greater capital.
You might be interested in
How do you solve / figure 8 x 51<br> (Distributive property)
Step2247 [10]
8(51)

=8(50+1)

=(8*50)+(8*1)

=(8*5*10)+(8*1)

=400+8

=408
5 0
4 years ago
Plzzzz answer question 14
viktelen [127]
Its D because when you use some graph paper point A and point B are 6 units away from each other
6 0
3 years ago
F(x)=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-4%7D" id="TexFormula1" title="\sqrt{x^2-4}" alt="\sqrt{x^2-4}" align="abs
hammer [34]

Solve for <em>x</em> when √(<em>x</em> ² - 4) = 1 :

√(<em>x</em> ² - 4) = 1

<em>x</em> ² - 4 = 1

<em>x</em> ² = 5

<em>x</em> = ±√5

We're looking at <em>x </em>≤ 0, so we take the negative square root, <em>x</em> = -√5.

This means <em>f</em> (-√5) = 1, or in terms of the inverse of <em>f</em>, we have <em>f</em> ⁻¹(1) = -√5.

Now apply the inverse function theorem:

If <em>f(a)</em> = <em>b</em>, then  (<em>f</em> ⁻¹)'(<em>b</em>) = 1 / <em>f '(a)</em>.

We have

<em>f(x)</em> = √(<em>x</em> ² - 4)   →   <em>f '(x)</em> = <em>x</em> / √(<em>x</em> ² - 4)

So if <em>a</em> = -√5 and <em>b</em> = 1, we get

(<em>f</em> ⁻¹)'(1) = 1 / <em>f '</em> (-√5)

(<em>f</em> ⁻¹)'(1) = √((-√5)² - 4) / (-√5) = -1/√5

The sign must be negative; see the attached plot, and take note of the negatively-sloped tangent line to the inverse of <em>f</em> at <em>x</em> = 1.

3 0
3 years ago
The box plot shows the ages of people at a movie screening. What percent of the people are between 20 and 37 years old?
iVinArrow [24]

Step-by-step explanation:

You didn't give the box plot, but to obtain the percentage of people between 20 and 37 years old, first of all, find the total number of people, T. Next, find the total number of people between 20 and 37 years old, t.

Then the percentage we want to find is:

P = T/t × 100

7 0
3 years ago
What is the value of 4 x minus 7 when x = 4?
Stolb23 [73]

Answer: 9

Step-by-step explanation: Here, we have the expression <em>4x - 7</em> and we want to evaluate the expression when <em>x</em> is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since <em>x</em> is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when <em>x</em> is equal to 4 is 9.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve using the guess-and-check strategy.
    6·2 answers
  • What two numbers multiply to -30 and add to 1?
    11·1 answer
  • She rides for 17.6 kilometers at a speed of 11 kilometers per hour. For how many hours does she ride?
    6·2 answers
  • Solve for 2:<br> 8x - 41°<br> 4x + 35°
    13·1 answer
  • Which of the following functions is equivalent to the function below? Select two that apply.
    5·1 answer
  • 2. (7.3B)Gwen has $29.00. If she buys 2 shortcakes at $3.99 each and 7 pounds of strawberries
    8·1 answer
  • 9.
    9·1 answer
  • Which survey question is unbiased?
    6·1 answer
  • What is the reciprical and product of the fraction 3/7?​
    6·1 answer
  • Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!