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
Radda [10]
3 years ago
7

You invested $11,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year w

as $730, how much was invested at each rate? The amount invested at 3% is $​
Mathematics
2 answers:
Trava [24]3 years ago
6 0

Answer:

I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Step-by-step explanation:

Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:

5,000 x 0.07 + 6,000 x 0.03 = 530

8,000 x 0.07 + 3,000 x 0.03 = 650

10,000 x 0.07 + 1,000 x 0.03 = 730

Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Naddik [55]3 years ago
3 0

Answer:

A 3% = 1000 and B 7% = 10000

Step-by-step explanation:

A + B = 11000

A * 0.03 + B * 0.07 = $730

A = 11000 - B

(11000 - B)*0.03 + B*0.07 = 730

330 - 0.03B + 0.07B = 730

330 + 0.04B = 730

0.04B = 400

B = 10000

A = 11000 - B = 11000 - 10000

A = 1000

You might be interested in
Line BC has an equation of a line Y equals 2X +3 and F has an equation of a line Y equals -1/2 x+4 these two equations represent
Masja [62]

Answer:

Lines BC and F represent perpendicular lines

Step-by-step explanation:

we have

<em>Line BC</em>

y=2x+3

the slope of the line BC is m=2

<em>Line F</em>

y=-(1/2)x+4

the slope of the line F is m=-1/2

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

m1*m2=-1

we have

m1=2 -----> slope line BC

m2=-1/2 -----> slope line F

Find the product of their slopes

(2)(-1/2)=-1

therefore

Lines BC and F represent perpendicular lines

6 0
3 years ago
a rectangle shape whose length is 4 inches less than twice its width. the area is 30 square inches. whats the dimension
Ne4ueva [31]
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"

So, the length the rectangle is 2" and the width is 3"
5 0
3 years ago
Fine The slope of the line on the graph
Brrunno [24]

Take any 2 points through which the line on graph passes,

(0,-1) =(x₁,y₁)

& (2,-4)=(x₂,y₂)

slope=(y₂-y₁)/(x₂-x₁)

=[-4-(-1)]/(2-0)

=-3/2

3 0
3 years ago
Factor 24j-16 to identify the equivalent expressions. Its multiple choice. A=8(3j−2) B=6(4j−2j) C=4(6j−4) D2(12−8)​
Ivan

Answer:

I would say either A or C

Step-by-step explanation:

because when you distribute both they both come out to be 24j - 16

6 0
3 years ago
Question 18 Item 18 The distribution of the number of moths captured per night by a certain moth trap is approximately normal wi
juin [17]

Answer:

Standard deviation 46.3

Step-by-step explanation:

A 28% of the distribution is equivalent to a z score of -0.5828, you can use a z table to find that.

Z score is calculated as follows:

z = \frac{x-\mu}{\sigma}

x is the number being evaluated

μ is the mean

σ is the standard deviation

And it is used to calculate how many standard deviations you are from the mean of the sample.

Replacing with the known information you can calculate the standard deviation:

\sigma=\frac{x-\mu}{z} =\frac{76-103}{-0.5828}= 46.3

4 0
3 years ago
Other questions:
  • Kirsten calculated the mean of 10 quiz scores. Later she was told there was an error in grading one of her quizzes. A quiz score
    11·2 answers
  • Mr. Young has a piece of rope. He uses 1/4 of it to tie some boxes together. He then uses 5/9 of the remainder to make a jump ro
    5·1 answer
  • Write real world problem that involves a positive and a negative value.then graph the values used in the problem on a number lin
    15·1 answer
  • Six divided by two hundred seventy six
    11·2 answers
  • Martin's T-shirt drawer contains 8 black
    10·2 answers
  • The admission price to the fair is $10. Ride tickets cost $3 each. You only have $40 in cash to spend on admission and rides. Wr
    11·1 answer
  • Urgent~What type of angles are 1 and 5?
    9·1 answer
  • Which of the following is NOT a function? PLS HELP ME!!!
    6·1 answer
  • Solve for a r=x(a+b)<br><br><br> Solve for x x/2=-7
    10·2 answers
  • Ashley needs to ride her bike to her friend’s house 96 miles away. She is riding at an average rate of 15 miles per hour. She ha
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!