You invested $7000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $536, how much was invested at each rate?
Answer: $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.
Step-by-step explanation:
Let's break this down into simpler terms so you can understand.
You invested $7000 in a 7% and 8% account (always remember: the 'x' variable is always given to the biggest percentage)
Total of interest: 536 (this always goes at the end of the equation, after the equal sign)
Step 1: Let's set up the equation:
Here are how percents are written: (7% = 0.07, 8% = 0.08, other examples: 50% = 0.50)
0.08x + 0.07(7,000-x)=536
You're adding both because you want to see how much each account paid together.
Step 2: Distribute the 0.07 to everything in the parenthesis
0.08x + 0.07(7,000-x)=536
0.08x + 490 - 0.07x =536
Step 3: Combine like terms
0.08x + 490 - 0.07x =536
0.01x + 490 =536
Step 4: Continue combining like terms
0.01x + 490 =536
0.01x = 46
Step 5: Divide both sides by 0.01 to get the 'x' by itself
0.01x = 46
x = 4,600
This answer, x = 4,600, says to us that $4,600 was invested in the 8% account.
To find out how much was invested in the 7% account, just replace the x = 4,600 back into this part of the original equation: 7,000-x
7,000-x
7,000-4,600
2,400
So.. $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.
The cost of making copies at Store W is $6 regardless of the number of copies. The cost of making copies at Store Z is 50¢ per copy plus a $1 charge for the use of the machine. The total cost, c, of making n copies at either store can be represented by an equation. Write and graph a system to find how many copies you have to make for the cost to be the same at both stores. Use pencil and paper. If you have to make a small number of copies which store should you go to? If you have to make a large number of copies which store should you go to? Explain.
Write the system of equations. Choose the correct answer below.
A.
Store W
c=6
Store Z
c=0.50n−1
B.
Store W
c=0.50n−6
Store Z
c=1
C.
Store W
c=0.50n+1
Store Z
c=6
D.
Store W
c=6
Store Z
c=0.50n+1
Your answer is correct.
Graph the system of equations. Choose the correct answer below
(Anwser fast please)
What is the expression that means the same as 7 less than the square of a number? A. 7-2x B. 7-2× C. 7-x2 D. x2-7
Answer:
D
Step-by-step explanation:
7 less than the square of the number means a number squared subtracted by 7, which would be D.
A. Find the product. Rewrite +
5.67 X 1.25
Answer:
Multiply
5.67 by 1.25.
7.0875
3.3: Boiling Water
The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove,
1 minutes after the stove is turned on.
1. Take turns with your partner to explain the meaning of each statement in this
situation. When it's your partner's turn, listen carefully to their interpretation. If you
disagree, discuss your thinking and work to reach an agreement.
a. W(0) = 72
b. W(5) > W(2)
dua 000
Sold
c. W(10) = 212wingsteam to bilo na
Darsning
d. W(12) = W(10)
e. W(15) > W(30)
f. W(0)
Answer:
Initial temperature, temperature at time 0
Step-by-step explanation:
The temperature of water in degree Fahrenheit 1 minute after stove is turned on ;
W(0) = 72 ; Initial temperature od water, that is temperature when time, t = 0
W(5) > W(2) ; This will be true, the tperature after 5 minutes should be greater Than the temperature after 2 minutes
W(10) = 212 ; The temperature of water is 212 degree Fahrenheit after 10 minutes
W(12) = W(10)
e. W(15) > W(30)
6 less than the number y
Answer:
6 less a number y can be represented by the expression 6 - y
pythagorean theorem converse please help i’ll mark brainlest
Answer:
thanks
Step-by-step explanation:
We can prove this by contradiction.
Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.
Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.
By the Pythagorean Theorem, (PQ)2=a2+b2.
But we know that a2+b2=c2 and a2+b2=c2 and c=AB.
So, (PQ)2=a2+b2=(AB)2.
That is, (PQ)2=(AB)2.
Since PQ and AB are lengths of sides, we can take positive square roots.
PQ=AB
That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.
Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.
This is a contradiction. Therefore, our assumption must be wrong.
Step-by-step explanation:
We can prove this by contradiction.
Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.
Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.
By the Pythagorean Theorem, (PQ)2=a2+b2.
But we know that a2+b2=c2 and a2+b2=c2 and c=AB.
So, (PQ)2=a2+b2=(AB)2.
That is, (PQ)2=(AB)2.
Since PQ and AB are lengths of sides, we can take positive square roots.
PQ=AB
That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.
Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.
This is a contradiction. Therefore, our assumption must be wrong
For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2+5
Answer:
honestly I don't know the answer
A square plot is 14 meters long.Find its area?
Answer:
Area of square= side*side
So we will have,
14*14
= 196cm²
Kimberly has $120 to spend at the bookstore. Kimberly buys a hardcover book for $36, as well as some gift cards for her family and friends. Each gift card is $15. How many gift cards can Kimberly buy
Answer:
she can buy 5 more
Step-by-step explanation:
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answer:
56
Step-by-step explanation:
hope this helps
plz give me brailiest
Answer:
Step-by-step explanation:
5+4=24
The ratio of plates to cups is 10:14. If
there are 7 cups, how many plates
are there?
(Help)
x PLATES ... 10
7 CUPS ... 14
Cross multiply and et' violá:
[tex]14x=70\implies x=70/14=5[/tex]
2 3/4 + 5 1/2
PLEASE I NEED ANSWER URGENT
true or false please help thank you
Answer:
True.
See below for explanation.
Step-by-step explanation:
Reason 1
When we solve the equation by combining both equations in one, the variable will become 0.Proof
[tex] \begin{cases} y = 4x - 3 \\ y = 4x - 5 \end{cases} \\ 4x - 3 = 4x - 5 [/tex]
Combine like terms.
[tex]4x - 4x = - 5 + 3 \\ 0 = - 2[/tex]
See that the equation is false no matter which numbers you substitute in x-term.
Reason 2
Both graphs are parallel and don't have any intercepts to each others.See the attachment below for graphs.
Since both graphs do not really have intercepts, that means they do not provide any solutions. Hence, no solutions.
Item 3
Use the Distributive Property to simplify the expression.
15 (4n-2)
Answer:
distributive property solve 3 into 4 - 2
Hello!
The Distributive Property states the following:
a(b+c)=ab+ac
where
a, b, and c can be either constants or variables.
Now, simplify:
15(4n-2)
15*4n - 15*2
60n-30
And we can't simplify it any further, because 60 n and 30 aren't like terms.
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
:-)
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
- 14 + 30 / 4
16 / 4
16 ÷ 4
= 4
^-^
Answer:
4
Step-by-step explanation:
-2×7=-14
-2×15=-30
-14--30=16
16÷4=4
a taxi charges $2 per mile and $1 per person. If a ride for 2 people costs $12, how many miles was the ride?
Answer:
5 miles
Step-by-step explanation:
$12 = ($2 per mile) (2 people)
$12 = $2 + $2m (m = mile)
subtract 2 on both sides to eliminate
$12 - $2 = $2 - $2 + 2m
$10 = 2m
divide both sides by 2 to eleminate m
$10 / 2 = 2m / 2
m = 5
1) If Donkey Kong is on a bridge 638 feet in the air, 6 seconds after a shell
was released, which shell hit Donkey Kong and how do you know?
+
Answer:
5000inches
Step-by-step explanation:
i think is that!
I need help fast i apericiate it my guy
Answer: 59
Step-by-step explanation:
Answer:
I think it's letter b.29
Solve the system using substitution. Show your work and give your answers as an ordered pair.
Write the vertex form equation of a parabola that has been translated right of the origin by 5 units, translated down from the origin by 15 units, reflected over the x-axis, and stretched vertically by a factor of
6
Answer:
90x+8202727
Step-by-step explanation:
90x70+8090#* 77
This graph shows the water temperature as a function of time.
Answer:
ioaiaifzkziz%syzjzxsbshshbsndnxjddd
What's 2/5 divided by 1/10?
Please help
Answer:
4
Step-by-step explanation:
That's the answer......
Answer:
2/5 ÷ 1/10 = 4
Hope this helped!
If I have a ratio 2:6, then what is x/18?
f I have a ratio 5:7, then what is (x+3):7?
Answer:
1. x=6
2. x=2
Step-by-step explanation:
2:6
x:18
From 6 to 18, 6 was multiplied by 3. To keep the equality, we must multiply the other side by three as well. Therefore, x is equal to 2*3 which equals 6.
x=6.
5:7
(x+3):7
For this one, the second value did not change, so we know that x+3 has to equal 5. Therefore, x=2.
x=2
Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18
The Coners family are going on a 250 mile road trip. The first day they drive 100 miles. Write an equation with a variable that can be used to find the number of miles remaining.
Answer:
100+x=250 or 250-x=100
Step-by-step explanation:
Does anyone know?? I'll give a brainliest For the correct answer.
Answer:
its 14
Step-by-step explanation:
because you have 40 bucks then you minus 18 then you divide then u get 14.
Answer:
$14
Step-by-step explanation:
20*2=40
40-12=28
28/2=14
10 % of what number is 29?
Answer:
290
Step-by-step explanation:
To solve this problem you multiply 29 by 100 and then divide the total by 10 as follows:
(29 x 100) / 10
Therefore, you can derive that 10 percent of 290 equals 29.
Note that the answer provided is rounded to the nearest two decimals if necessary.
Factor Completely'''
Answer:
[tex]4x^2(x-2)(x+6)[/tex]
Step-by-step explanation:
Factor [tex]4x^2[/tex]
[tex]4x^2(x^2)+4x^2(4x)-4x^2(-12)[/tex]
[tex]4x^2(x^2+4x-12)[/tex]
[tex]4x^2(x-2)(x+6)[/tex]
good luck, hope this helps :)
Rhombus
b= 14 in.
h=9 in.
Paralelogram
b= 12ft
h= 8.5ft
A rhombus has an area of 375 mm2 and a base of 25 mm. What is its height?
Answer:
Step-by-step explanation:
The solution is, The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
Rhombus A:
Area = 35 square inches
base = 7 inches
height = 5 inches
Rhombus B:
Area = 315 square inches
base = 21 inches (7 x 3)
height = 15 inches (5 x 3)
A = 21 x 15
so, we get,
The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
complete question:
Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain