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.
Solve the following problem and choose the best answer.
Question
Favian received a $100 gift card to a clothing store. Using only the gift card, he was able to purchase n
sweaters that cost $32 each and 1 belt for $20. If there was no tax on the sweaters and belt, which of the
following must be true?
O 80 : n> 32
O 32 :n> 80
0 80 : n < 32
O 100 – 32n< 20
Answer:
80 : n < 32
Step-by-step explanation:
100-20=80
A triangle with side lengths of 6 meters, 9 meters and 8 meters
A. No triangle
B. Unique triangle
C. More than one triangle
Answer:
B). Unique Triangle
Step-by-step explanation:
This lengths make a right triangle therefore it is unique.
Answer:
the answer is b. because if there is a 90 angle it is a unique triangle
Step-by-step explanation:
Brunhilda has 6 children. She plans to give the same amount of pocket money (x dollars) to each of her children. She puts all this money into a jar that already has $50 in it.
Answer:
She kills all 6 and takes the money and keeps it for her self.
Hell please please please
Two lines meet at a point that is also the vertex of an angle.
Answer:
true
Step-by-step explanation:
Answer:
intersection?
Step-by-step explanation:
My friends last question pls answer ASAP
Answer:
64
Step-by-step explanation:
just count the blocks!
We should seperate the shape into 2 rectangles.
For the 1st one, we should find the volume by multiplying 2 by 3 by 4
This equals 24 cubic units
The 2nd shape's volume is found by 2 by 5 by 4
This equals 40 cubic units
Now we add the 2 volumes to equal 64 cubic units
Please help and answer all questions from the attachments. Will give brainliest to correct answers from attachments.
Answer:
See attachments
Step-by-step explanation:
Hope this helps.
A local ice cream store wanted to see if there was a linear relationship between average temperature on any given day and their ice cream sales. After recording sales and temperatures for 15 randomly selected days they calculated b1 to be equal to 1.24 and a standard error of b1 to be equal to 2.59. Using the appropriate equation, calculate the test statistic is to test if there is a linear relationship between these two variables. Round to two decimal places as necessary. 0.48.
Answer:
the test statistic is 0.48
Step-by-step explanation:
Given that;
sample size n = 15
slope of regression b1 = 1.24
Standard of error SE = 2.59
now,
The hypothesis;
Null hypothesis H₀ : B1 = 0
Alternative hypothesis H₁ : B1 ≠ 0
If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.
Test Statistic
t = b1 / S.E
we substitute
t = 1.24 / 2.59
t = 0.4787 ≈ 0.48
the test statistic is 0.48
4/10-3/10
how do i do this please hurryyyy
Answer:
its 1/10
Step-by-step explanation:
4/10-3/10=1/10
Bir bahçede 18 elma, 24 armut ve 63 kiraz ağacı bulunmaktadır. Bu bahçedeki kiraz ağaçlarının sayısı toplam ağaç sayısının yüzde kaçıdır ?
Lütfen acil cevaplayabilir misiniz
18+24+63=? işlemini yapman gerek sonra sonuçtan ?-63=? işlemini yapacaksın sonra o sonucu 100 e bölüp sonucu bulcan
solve the system of equations for X and Y
y=x+5
y=2x+2
Which of the following situations
represents a proportional relationship?
A. A cheeseburger is $7.95 plus $ 1.00 for
each additional topping.
B. A pool fills at a rate of 90 gallons per hour.
C. A health club charges a $40.00
membership fee plus $25.00 per month.
D. A bank account begins with $350.00 and
gains $30.00 per month.
Answer:
I think the answer is C. : a health club charges a $40.00 membership fee plus $25.00 per month.
Multiple Choice
Which would you measure in meters?
O A. the length of a pencil
o
B. the capacity of a cup
C. the mass of a puppy
O
D. the length of a car
Answer:
D. the length of a car
Step-by-step explanation:
A car's measurement is always measured in meters.
Divide 4/5 * 1/10
Blank 1:
A car travels 88 miles in 1 hours
(with a constant speed). How far
can it travel in 2 hours (with the
same speed)?
Answer:
176 miles
Step-by-step explanation:
88x2=176
How to make change for a dollar using exactly 50 coins.
Is there more than one way?
Answer:
Conversations of currencies
Step-by-step explanation:
I am 100% sure that's the other way
More than 75% of Americans answer yes when asked, "Do you favor cracking down against illegal gun sales?" but more than 75% say no when asked, "Would you favor a law giving police the power to decide who may own a firearm?"
a. Which statistic would someone who opposes gun control prefer to quote?
b. Explain what is wrong with the wording of each of these statements.
Step-by-step explanation:
Consider the case "Gun control"
(a). The second option,
"Would you favor a law giving police the power to decide who may own a firearm?"
is more favourable question to be asked for someone who opposes gun control.
Because it is expected that most americans would answer that they opposes that giving the police so much power and would likely to oppose Gun Control.
(b). How a Survey question is worded affects the result. Advocates who can afford to sponsor their own surveys can shape the result to try to demostrate support for their position.
Gun Control advocates may phrase a question
"Do you favour cracking down against illegal gun sales?"
While gun control opposition would ask
"Would you favour or oppose alaw giving the police the power to decide who may or may not own a firearm?"
Both question could result in both side of the issue appearing to having the majority of the people supporting their position. In this example a public opinion seems to divide into minorities at the 2 extremes, some favoring a ban on all guns others oppose any Gun COntrol. and a large middle mass that, presumably, favours keeping guns out of the hands of "Bad" people while letting "Good" people have guns.
The complexity of public opinion can be hard to recognize when our information comes from surveys sponsored by advocates who word questions to produce the results they desire.
Estimate the square root of -54 to the nearest integer
Answer:
7.34846923
Step-by-step explanation:
write the equation of the image y=x^2 after vertically stretched by a factor of 2 and horizontally shifted 3 units to the left
Answer:
2=3^2?????
Step-by-step explanation:
y=x^2
(3,2)
substitute
2=3^2
9 students try out for 3 openings on the school soccer team. How many ways can 3 students be chosen out of 9?
A.
9
B.
27
C.
84
D.
504
What is blank _+ 5 = 5 + 9 ?
And 16 • 4 = • 16?
Answer:
The first one would be 9
The second one would be 4
Step-by-step explanation:
By adding the same numbers, you make the equations equal and therefore true.
Help please and thank you
Answer:
its 22 because it is going by 3
Each day after school, Chelsey runs 2.8 miles farther than Kyle.
Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.
plzz help
Part B. If Kyle runs 4 miles, how many miles does Chelsey run?
Answer:
6.8 miles
Step-by-step explanation:
First, create the equation representing Chelsey's miles compared to Kyle's:
c = k + 2.8
Next, find how many miles Chelsey runs if Kyle runs 4 miles.
Plug in 4 as k into the equation:
c = k + 2.8
c = 4 + 2.8
c = 6.8
So, Chelsey runs 6.8 miles
Answer:
Question :-Each day after school, Chelsey runs 2.8 miles farther than Kyle.
Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.
plzz help
Part B. If Kyle runs 4 miles, how many miles does Chelsey run?
Solution :-Let the miles walk by Chelesy be x
Now,
x = 4 + 2.8
x = 6.8 miles
Therefore,
x = Kyle's mile walked + 2.86.8 miles[tex] \\ [/tex]
Mayra bought x grams of rice. Anika bought 1/3 more than mayra bought.
I need help please it will mean a lot
Answer:
The answer is B (2).
Step-by-step explanation:
Answer:
2
you replace the w with 30
30/6=5
then you subtract 3
5-3=2
f(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)
Given:
The functions are
[tex]f(x)=-5x^2+4x-9[/tex]
[tex]g(x)=8x^2-3x-4[/tex]
To find:
The value of (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the given functions, we get
[tex](f+g)(x)=-5x^2+4x-9+8x^2-3x-4[/tex]
On combining like terms, we get
[tex](f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)[/tex]
[tex](f+g)(x)=3x^2+x-13[/tex]
Therefore, the required function is [tex](f+g)(x)=3x^2+x-13[/tex].
Rewrite this division expression as an equivalent multiplication expression 5/8 ÷ 2/3
Answer:
The equivalent multiplication expression is [tex]\frac{5}{8} \times \frac{3}{2}[/tex]
Step-by-step explanation:
Division of fractions:
A division of fractions is the same as the multiplication of the numerator by the inverse of the denominator.
5/8 ÷ 2/3
So numerator is 5/8, denominator is 2/3
[tex]\frac{\frac{5}{8}}{\frac{2}{3}} = \frac{5}{8} \times \frac{3}{2}[/tex]
The equivalent multiplication expression is [tex]\frac{5}{8} \times \frac{3}{2}[/tex]
No need to answer :)
Answer:
okay, we'll leave you to it
good luck
what is the area of 11/5 and 15 inches
Answer:
33
Step-by-step explanation:
How long is the segment from (-5,2) to (5,-8)
Answer:
[tex]\boxed{\textsf{ The lenght of segment is \textbf{ 10}$\sqrt{\textbf{2}} $ \textbf{ units }.}}[/tex]
Step-by-step explanation:
We need to find the lenght of the segment drawn from (-5,2) to (5,-8) . Basically here we need to find the distance between the two points .
Here we can use Distance Formula , which is used to find the distance between two points .
[tex]\rule{200}2[/tex]
★ Distance Formula :-
If we need to find the distance between two points say , [tex]\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2) [/tex] , then we can find out the distance as ,
[tex]\boxed{\boxed{ \sf Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]
[tex]\rule{200}2[/tex]
Put on the respective values ,
[tex]\sf\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } \\\\\sf\implies Distance =\sqrt{ ( -5-5)^2+(2+8)^2 }\\\\\sf\implies Distance= \sqrt{ (-10)^2+(10)^2 }\\\\\sf\implies Distance =\sqrt{ 100+100}\\\\\sf\implies Distance =\sqrt{200}\\\\\sf\implies Distance =\sqrt{2\times 10\times 10}\\\\\sf\implies \boxed{\pink{\frak{ Distance = 10\sqrt{2} \:\; units }}}[/tex]