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.
A group of five friends went out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the same, so they wanted to split the bill evenly. Without considering tip, how much should each friend pay? *
Answer:
$10.75
Step-by-step explanation:
$53.75 / 5 = $10.75
Answer:
$10.75
Step-by-step explanation:
$53.75 ÷ 5 = $10.75
This is showing the total split amongst the five people. $10.75 is the price that each friend will pay if the bill is split evenly
is every relation a function?
In the figure below, angles PQS and
TQR are congruent. Angle SQT is 15° larger
than angle PQS.
What is the measure of angle SQT?
Answe70
Step-by-step explanation:
The measure of the angle SQT will be 70°. The correct option is B.
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that In the figure below, angles PQS and TQR are congruent. Angle SQT is 15° larger than angle PQS.
The measure of the angle SQT is,
2∠PQS + ∠SQT = 180
2∠PQS + ∠PQS + 15 = 180
3∠PQS = 165
∠PQS = 55°
The measure of the angle ∠SQT is,
∠SQT = 55 + 15
∠SQT = 70
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The NCAA basketball tournament begins with 64 teams, and after each round, half the teams are eliminated. The number of remaining teams t n) is an exponential function of the number n of rounds already played . Write the exponential function that represent the number of players after n rounds . How many players will be there after 4 rounds?
Answer:
64 (1/2) n
ssssssssssssssssssssssssssssssssssssssssssssss
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.
Answer:
Kindly check attached picture for sample space.
Step-by-step explanation:
Sample space, S
S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
The tree diagram for all 18 elements in the sample space can be found in the picture attached below :
a.)
Event A ; number on die < 3
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
b.)
Event B ; 2 tails occur :
B = {1TT, 3TT, 5TT}
QUESTIONS B, C and E are not well formatted
what is 4(d+6c)
please help me
Answer:
23d
Step-by-step explanation:
Answer:
4d +24c
Step-by-step explanation:
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 110
cm
2
, what is the length of the diagonal?
Answer:
Use the formula of areal*b*h
Forma de distribución del resultado obtenido por los componentes de una sociedad tomando en cuenta dos factores que intervienen, el capital y el tiempo
a) reparto proporcional
b) regla de compañía
c) prorrateo
The residual for Raisin Bran is 8.556. How many grams of sugar does Raisin Bran actually have per cup
Answer:
Note: The full question is attached as picture below
a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.
b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6
c. For carbohydrate content of 29 grams,
Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram
d. Residual value= Actual value - Predicted value
8.556 = Actual sugar content - 10.444
Actual sugar content = 8.556 +10.444
Actual sugar content = 19
So, the Raisin Bran actually have 19 grams of sugar per cup.
Please help ASAP! Please and thank you have a great and blessed day!
Answer:
Number 1
425,176- 400,00
4,008- 4,00
Number 2
C, B,
Step-by-step explanation:
please help me please i really need help please
Answer:
I think it would be all of the above
Step-by-step explanation:
:)))
(giving brainiest)
tell how you solved the question
Answer:
Step-by-step explanation:
4000
In an art class, 40% of the members are boys. 20% of the boys and 50% of the girls have learnt how to play a piano. If there are 150 members in the class, how many members have learnt to play piano?
Answer:
57
Step-by-step explanation:
How to convert 12/25 to a decimal number.
Step-by-step explanation:
0.48 is the decimal form of 12/25
Answer:
0.48
Step-by-step explanation:
First you have to...
make the denominator to 100
25×4=100
multiply the numerator with that same number
12×4=48
So, it becomes...
48/100
And now you can convert it to a decimal number...
48/100= 0.48
Hope it helps you!!!
Which answer is an equation in point-slope form for the given point and slope?
Point (1, 9), Slope: 5
(A) y - 9 = 5(x + 1)
(B) y+9 -5(x - 1)
(C) y-9=5(x - 1)
(D) y-1-5(x +9)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
In your case, m=5 and (x₀,y₀)=(1,9):
y-9 = 5(x-1)
I need help please?!!!!
Answer:
A
Step-by-step explanation:
the relationship between x and y is constant; 5/3
Answer:
the answer is A because x and y are constants
what is this 3d shape called
Answer:
The name of the shape is Hexagonal Prism
help mee please and thanks
Answer:
x= −1/5y + 2/5
Step-by-step explanation:
Let's solve for x.
y=−5x+2
Step 1: Flip the equation.
−5x+2=y
Step 2: Add -2 to both sides.
−5x+2+−2=y+−2
−5x=y−2
Step 3: Divide both sides by -5.
Answer:
x= -1/5y + 2/5
not 100% sure if ur trying to solve for x or just graph that equation but hopefully this helped lol :)
seven more than twice a number is -4
Answer:
-5.5
Step-by-step explanation:
[tex]2x+7=-4\\2x=-4-7\\2x=-11\\x=-5.5[/tex]
Answer:
-11/2
Step-by-step explanation:
Let the number be a
(2a)+7= -4
2a= -4-7
2a= -11
a= -11/2
Bentley invested $430 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $510?
Answer:
its 11
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Find the values of x and y in the diagram.
Answer:
x = 3
y = 10
Step-by-step explanation:
In triangle KLN, measure of all angles are equal.
Therefore, it is an equilateral triangle.
All sides of an equilateral triangle are equal.
So,
y - 4 = 6
y = 6 + 4
y = 10
In triangle LMN, measures of angles M and N are equal, Therefore,
LM = LN
x + 3 = y - 4
x + 3 = 10 - 4
x + 3 = 6
x = 6 - 3
x = 3
You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees. How far away from the building's base are you?
Answer:
Step-by-step explanation:
horizontal distance = 62/tan(51°) ≅ 50.2 m
The distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle.
It is given that:
You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees.
The angle = 51 degrees.
The height of the building = 62 m
Applying the tan ratio
tan51 = height of the building/distance between the building base to a standing point
tan51 = 62/x
x = 50.20 m
Thus, the distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.
Learn more about trigonometry here:
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Sounds off topic but I'm feeling sad today, my teacher gave me a project and springboard for homework and I'm crying rn because of how much stress and pressure for me none of my family help me because they don't understand English I wish for positive things love you all <3
Answer:
man i get that- but just try and keep your head up!! you got this!!
Step-by-step explanation:
have cute picture of a cat!!
Things are only hard if you make them, so simply tackle it like the hulk in avengers: age of Ultron! Besides, with as bright of a head as you have on your shoulders, it should be a piece of cake! Also while doing the project, try listening to music. That way, it makes the time pass by and before you know it, your in the teachers room with that A+ project. Anyway, I wish you the best of luck and hope you have a wonderful day! :)
Three times the sum of a number and 18 and is at least -30
Answer:
im sry i need hte points
Step-by-step explanation:
3b +2f = 21.50 What is the Answer for B and F
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
b=7.1¯6−2f/3
Isolate the variable by dividing each side by factors that don't contain the variable.
f=10.75−3b/2
Step-by-step explanation:
What is the perimeter of the rectangle given below?
I don't know what's the ten but anyway, "Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?" what is the other answer?
Answer:
She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.
Step-by-step explanation:
First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”
What is the area of the real object that the scale drawing models?
Answer:
90 cm²
Step-by-step explanation:
since the ratio is 1:6 for every one little box the bigger box increases 6 times.
so 15·6= 90 cm²
Answer:
D. 90 square cm
Help please!!!!!!!!!!
Answer:
25
Step-by-step explanation:
because 25 times 2 is 50 and 25 times 3 is 75
hope I helped!!! ;)
Suppose you had $6.00 to buy bananas and apples. Bananas cost $0.49 per pound and apples cost $0.34 per pound. Write a linear equation that represents the different amounts of fruit you could buy.
Answer:
ok
Step-by-step explanation:
ok ok ok ok ok ok ok ok