John invest $5,000 in one account and $8,000 in an account paying 4% more in interest. He earned $1,230 in interest after one year. At what rates did he invest
Given:
John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.
Total interest in one year = $1230
To find:
The rates of the investments.
Solution:
Let x% be the rate of interest on investment $5000.
Then, (x+4)% is the rate of interest on investment $8000.
Total interest is $1230. So,
[tex]5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230[/tex]
[tex]50x+80(x+4)=1230[/tex]
[tex]50x+80x+320=1230[/tex]
[tex]130x=1230-320[/tex]
[tex]130x=910[/tex]
Divide both sides by 130.
[tex]x=\dfrac{910}{130}[/tex]
[tex]x=7[/tex]
Now,
[tex]x\%=7\%[/tex]
[tex](x+4)\%=(7+4)\%=11\%[/tex]
Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.
Someone please explain to me how I go about to find this answer. My daughter is having trouble and her algebra 1 teacher ia no help!!!!
Answer:
3/4
Step-by-step explanation:
do you need a deep explanation? or just a quick one?
Answer: the slope is 4/3
Explanation :
1) pick 2 points on the graph. I picked ( 30, 20) and (60,60)
2) to find m, we do rise over run. Y is the rise and x is the run.
3) subtract the y exponents from eachother over the x exponents.
4) Do this : 60-20/ 60-30 . After solving, you should get 4/3.
5) good luck
Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.
Answer:
The initial value is $78
Step-by-step explanation:
Given
[tex]Base\ Amount = \$78[/tex]
[tex]Additional = \$30[/tex] (weekly)
Required
Determine the initial value
The initial value is the amount he has in its bank account before making his weekly savings.
From the question, we have that his initial balance is $78.
Hence, the initial value is $78
However, his weekly balance can be expressed as:
[tex]Balance = Base\ Amount + Additional * number\ of weeks[/tex]
Represent number of weeks with x; So, we have:
[tex]Balance = 78 + 30 * x[/tex]
[tex]Balance = 78 + 30 x[/tex]
Find the measure of
Answer:
of what?
Step-by-step explanation:
if you could send a picture Thad be great
Help with part c please!
Answer:
the answer is x-16
I hope it will help
Answer:
I think the answer is 8², I just multiplied it by it’s self(squared)
I’ve never helped someone on functions before, this one seemed comprehend able
Step-by-step explanation:
Please give me brainliest
I put D but I am not sure if that is the valid answer. Any help?
Explanation:
AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.
Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.
So far we have two pairs of congruent angles.
The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.
So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.
Someone please help thank you ! With full answers
Answer:
[tex]A) h=\frac{V}{\pi r^2}[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h\\h=\frac{V}{\pi r^2}[/tex]
Gina bought 4 bags of grapes that weighed 2.29 pounds each. The grapes were priced at $2.50 per pound. The expression below represents the total cost of the bags of grapes Gina bought, in dollars.
(2.29×2.50)×4
Which expression below is also equivalent to the total cost of the grapes?
( 2.29 + 4 ) × 2.50
4 × ( 2.50 + 2.29 )
( 2.29 × 4 ) + 2.50
2.29×(2.50×4)
Answer:
2.29 × (2.50 × 4) is equivalent.
Step-by-step explanation:
It doesn't matter what order multiplication happens in, it will result in the same answer!
What is the sum of -2/3 and -4/6?
A. -4/3
B. -2/3
C. 2/3
D. 4/3
Answer:
A
Step-by-step explanation:
-2/3 = -4/6, -4/6 + -4/6 = -8/6 = -4/3
Answer: D. -4/3
Step-by-step explanation:
-2/3 + -4/6
make the denominators the same
so -2 * 2 and 3 * 2 = -4/6
-4/6 + -4/6 = -8/6 = -4/3
Here is five number cards
Answer:
Thank you
Step-by-step explanation:
A company's 2015 earnings were 20% greater than the previous year's earnings. In
2014, the company earned $800,000.
Part 1
Which expression will find the company's earnings for 2015?
OA
800,000(0.20)
OB.
800,000(1 + 0.20)
O C.
800,000 + 0.20
OD
800,000(800,000 + 0.20)
Answer:
B
Step-by-step explanation:
since there is going to be an increase you will increase 800,000 using the ratio 120:100 which is choice B
When 5(2x+3)-(x+4) simplified is?
Answer:
9x + 11
Step-by-step explanation:
5(2x+3)-(x+4)
10x+15-x-4 Use distributive property
10x-x +15-4 Combine like terms
9x + 11
Hope this helps!
Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.
A parallelogram is shown. The top left angle is x degrees and the bottom left angle is 80 degrees.
What is the value of x?
40
50
100
160
Answer:
X=100
Step-by-step explanation
you gotta get to 180 so add that hunid
The value of x in the parallelogram described is: C. 100°
How do You Find Angles of a Parallelogram?In a parallelogram, opposite angles are congruent, adjacent or consecutive angles are supplementary.
x degrees and 80 degrees are consecutive angles in the parallelogram described.
Therefore:
x + 80 = 180
x = 180 - 80
x = 100°
Therefore, the value of x in the parallelogram described is: C. 100°
Learn more about parallelogram on:
https://brainly.com/question/23173716
CAN I GET A MC PICK TOTOROTOTOTOOTOTOTOTOTOTOTOTOTOTOOOOOOOOO
Answer:THXXXXXXXSSSSS FOR THE POINTS
Step-by-step explanation:
Answer:
***T O O T***
Make it into slope-intercept form
Answer:
y=1/2x-1
Step-by-step explanation:
y=mx+b where m equals the slope and b equals the y-intercept. Hope this helps!
2. Carlo, a school varsity player, has 32 table tennis ball and 16 table
tennis paddles. He wants to sell packages of balls and paddles
together. What is the greatest number of packages he can sell with
no leftover balls or paddles?
Answer:
balls
Step-by-step explanation:
lol hahahahahahahahhahahahahahhahahahahahahahahhahah
Answer:
two balls for every one paddle
Step-by-step explanation:
vertical asymptote of f(x) = 3x-18 over 2x + 1
Answer:
We know that the formula to get the equation of a rational function is:
y = a * (factors of x intercepts) / (factor of vertical asymptote)
We are given the equation:
y = (3x - 18) / (2x + 1)
from the formula, we know that the value in the denominator is the factor of the vertical asymptote
So, we can write that:
2x + 1 = 0 [where x is the vertical asymptote]
x = -1/2
Therefore, the vertical asymptote of the given equation is -1/2
Help! Thank you in advance!
Answer:
option 3
both (3, 2) and (2, -1) are solutions
Answer:
C
Step-by-step explanation:
-3x + y = -7
use (3, 2) as plug ins for x and y
-3x + y = -7 (rewrite)
-3 x 3 + 2 = -7 (solve)
-3 x 3 = -9
-9 + 2 = -7
same with the other numbers (2, -1)
but i'm lazy
write a Pythagorean triplet whose smallest value is 14
Here is one: (14, 48, 50)
Arrange the numbers in order from least to greatest.
1/2, -5,
0.56,
0,
12%
Least to greatest
Answer:
-5,0,0.56,12%,1/2
Step-by-step explanation:
A tree that is 10 feet tall casts a 20 foot shadow. What is the length of the shadow of a nearby 30 foot tall tree
Answer:
It should be 60 feet following the pattern!
It would cast a 60 foot shadow following the pattern but depending on how far the trees are apart the 30 foot tree could also cast a 40 foot shadow:)
which is the right answer??????
Answer:
D.
Step-by-step explanation:
I'm 70% sure
find the radii of a circle 6.16ha
Answer:
88m
Step-by-step explanation:
area = 6.16msq
πrsq=6.16
22/7*rsq=6.16/100
22/7*rsq=616
rsq=616*7/22
rsq=4321/22
rsq=196
r=√196
r=14m
diameter=14*2=28m
radius=14m
circumfrence=2πr
=2*22/7*14
=44*2
=88m
Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is 0.45meter long for each bow. How many meters of ribbon does Nicole need to make the bows?
Answer:
450 Ribbons
Step-by-step explanation:
multiply the length of 1 ribbon by how many she needs to make. we get, 0.45m x 1000bows
that's 450m ribbon.
plz mark this as brainliest and I hope I helped :)
write the slope-intercept form of the equation of the equation. PLEASE HELP. i will give brainliest.
Answer: Slope intercept form: y = mx + b
A. y = 4/7 x + 27/7
Screenshot attached.
Step-by-step explanation: Slope is m. In this example, it is 4/7. The y-intercept is b. in this example it is 2 in the question and 27/7 in the answer choice.
First clue why A is the answer: the slope must be the same if the lines are parallel
Please help me this is due tomorrow
Answer:
9
Step-by-step explanation:
Please help me with this problem
(0.3d−1.5)/3 1/3 =0.84: 7/15
If a freight train travels at a speed of 20 miles per hour for 6 hours, how far will it travel? A 120 miles B 80 miles C 26 miles D 12 miles
Answer: The answer is A
Step-by-step explanation: Because 6*20= 120
Find answer to picture problem
Answer:
Can you add the picture please???
Step-by-step explanation:
Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since
he first purchased his house. For the past six months, Rudy has completed some major improvements to his
house to improve its overall value. If Rudy successfully adds $50,000 to the value of his house, what will his new
annual homeowners insurance premium be?
a. $185.00
b. $315.00
c. $1,291.30
d. $1.351.14
Please select the best answer from the choices provided
Answer:
c. $1,291.30
Step-by-step explanation:
Calculation what will his new annual homeowners insurance premium be
Insurance premium= [$1,106.30+ ($0.37/ $100*$50,000)]
Insurance premium=$1,106.30+$185
Insurance premium=$1,291.30
Therefore what his new annual homeowners insurance premium will be is $1,291.30
Answer:
c
Step-by-step explanation:
edge 2021