Mr. Silverstone invested some money in 3 different investment products. The investment was as follows:
a. The interest rate of the annuity was 4%.
b. The interest rate of the annuity was 6%.
c. The interest rate of the bond was 5%.
d. The interest earned from all three investments together was $950.
Which linear equation shows interest earned from each investment if the total was $950?
a.) a + b + c = 950
b.) 0.04a + 0.06b + 0.05c = 9.50
c.) 0.04a + 0.06b + 0.05c = 950
d.) 4a + 6b + 5c = 950
Answer: c.) 0.04a + 0.06b + 0.05c = 950
Step-by-step explanation:
To find interest per investment you need to multiply the percentage interest rate by the value of the investment.
When written in linear equations, percentages are converted to decimal form.
4% = 1/100 = 0.04
6% = 6/100 = 0.06
5% = 5/100 = 0.05
These are the interest rates that when multiplied by their investments, will give a total of $950.
0.04 * a + 0.06 * b + 0.05 * c = 950
0.04a + 0.06b + 0.05c = 950
Option c is therefore correct.
Victor is thinking of a number. If he multiplies his number by nine and then subtracts 7, he
gets 101. What is Victor's number?
Answer:12
Step-by-step explanation:
12x9=108
108-7=101
Your welcome
Is it possible to construct a triangle given the following lengths? 112 cm,
300 cm, 190 cm
Yes
No
Sally wants to buy a new sewing machine. The regular price is $749. The store is
offering a 20% discount and a sales tax of 6% is added after the discount. What is
the total cost of the TV?
Answer:
The answer is 599.20
Step-by-step explanation:
Phillip reads 1/10 of a book in 1/6 of an hour. How much of the book does Phillip read in 1 hour?
Please help for brainliest!!!
Answer:
solve m+5=4m-10 to find the value of m
Step-by-step explanation:
Solve The Equation
___ - (-7) = 5
Answer:
-2
Step-by-step explanation:
x-(-7)=5
x+7=5
-7
x=-2
PLEASE HELP MEEEE 28 POINTS!!!!
A. Find an equation in point-slope form for the line having the slope m = 6 and containing the points (7,2)
B. Find an equation in point-slope form for the line having the slope m=-4 and containing the point (1,9).
Answer:
Part A)
An equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
An equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
Step-by-step explanation:
Part A)
Given
Slope m = 6
Point (7, 2)
To Determine
Find an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 6(x₁, y₁) = (7, 2)substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 2 = 6(x-7)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
Given
Slope m = -4
Point (1, 9)
To Determine
Find an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = -4(x₁, y₁) = (1, 9)substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 9 = -4(x-1)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
The answer is:
1) y - 2 = 6(x - 7)
2) y - 9 = -4(x - 1)
Work/explanation:
The point slope formula is:
[tex]\bf{y-y_1=m(x-x_1)}[/tex]
where m = slope;
(x₁, y₁) is a point on the line.
For this problem, m = 6 and the point is (7,2).
Plug in the data:
[tex]\bf{y-2=6(x-7)}[/tex]
__________________
For this problem, m = -4 and the point is (1,9).
Plug in the data:
[tex]\bf{y-9=-4(x-1)}[/tex]
Hence, these are the equations.
1. A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus if each hold only 50 children?
Answer:
8
Step-by-step explanation:
400 divided by 50 is 8
Answer:50
there are 400 students and a bus can hold 50 so you divide 400 by 50 which is equel to 8
so about 50 kids if all the kids go on the bus
Which expression has the greatest value?
∣−25∣ ∣−16∣ ∣18∣ ∣−22∣
Answer: |18| is the greatest value.
Step-by-step explanation:
|-25|, |-16| and |-22| are all negative numbers. (Negative numbers are numbers that are less than zero.)|18| is a positive number. (Positive numbers are whole numbers that is larger than zero. On a number line these numbers come before zero and negative numbers)|18| is a greater value because it is a positive number.In y = ax² + bx + c, what happens to the graph when a gets more negative?
A.The graph widens
B. The graph shifts left.
C. The graph shifts down
D. None of these
E. The graph narrows.
Answer:
A.
Step-by-step explanation:
It should be A. since if you have value that is greater than 1 then the graph would get narrower if you change the a value so this crosses E. out of the list
I have 5,049,349 marbles. Toona stole 545,000 of them. she gave 45,000 back, and i dropped 56,980. How many do i have left?
Answer:
The answer is 4,492,369.
Step-by-step explanation:
First of all, how the HECK do you have 5 MILLION MARBLES?! Make the equation for the problem: 5049349 - 545000 + 45000 - 56980.
5049349 - 545000 + 45000 - 56980
4504349 + 45000 - 56980
4549349 - 56980
4492369
How many solutions does 6 -3x = 12 - 6x have?
A. Two solutions
B. No solutions
C. Infinitely many solutions
D. One solution
Answer:
D. One solution
Step-by-step explanation:
Simplify:
[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]
There is only one solution (x=2) that satisfy the equation.
Simplify the expression 53 × 5-^5.
Answer:
i believe its 260
Step-by-step explanation:
sorry if its wrong
Answer:
Step-by-step explanation:
Hope this Helps ;)
Which statement is true regarding the functions on the graph?
O f(6)=g(3)
O f(3)=g(3)
O f(3)=g(6)
O f(6)=g(6)
Sarah and Eva took a road trip. Sarah drove two-fifths of the miles. If she drove 128 miles, how many total miles did they drive?
if possible can you answer without x being the equal?
Answer:
well just add 128 and 0.4 miles and that's your answer
Gordon rolls a fair dice 162 times.
How many times would Gordon expect to roll an even number?
Answer:
hmm.........................
Answer:
64
Step-by-step explanation:
please help me , I need help!!!
P is an odd number. Q is an even number. Explain why P × Q + 1 is always an odd number?
Answer:
An odd number times an even number is always even
e.g 2 × 3 = 6
4 × 5 = 20
adding 1 to an even number makes it odd
6 + 1 = 7
20 + 1 = 21
hope this helps...
Answer:
P is an odd number
Q is an even number
Now, product of a odd number and even number is always even number.
Therefore, P×Q is a even number
Now, by adding 1 to the even number it becomes odd.
Hence, P×Q+1 is always an odd number.
help please ASAPP 30 points
Answer:
A : (146-4b)=(122-1b)
Step-by-step explanation:
(-2, 4) and (3, -1)
Write equation in slope intercept form
Answer: y=-x+2
Step-by-step explanation:
m=(-1-4)/(3+2)=-5/5=-1
y=-x+b
Plug in the values
y=-x+2
Answer:
y = − x + 2
Step-by-step explanation:
geometry help please explain no graph
what one is a linear function
Answer:
C
Step-by-step explanation:
A linear function will have a constant rate of change. The rate of change (or slope) for C is -3. All the other graphs do not have a constant rate of change. As in the difference between each value was different.
After buying the supplies, you start painting the east wall. It takes you 96 minutes to put two coats of paint on that wall (not including a lunch break between the two coats). Your friend stops by to see how you are doing and comments that you are 25% finished with the painting. What is 25% of the entire project? Are they correct?
Answer:
0.50
Step-by-step explanation:
After buying the supplies, you start painting the east wall. It takes you 96 minutes to put two coats of paint on that wall (not including a lunch break between the two coats). Your friend stops by to see how you are doing and comments that you are 25% finished with the painting. What is 25% of the entire project? Are they correct?
25% of 2 coats of paint
0.25 × 2
0.50
25% of the entire project is 0.50
PLSSSS HELPPP ME ASAAPPP PLSS ANSWER BOTH QUESTIONS!!!!!!!!!!
I WILL GIVE BRAINLIEST!!!!
Sinah bought some packs of gum. There were 8 sticks of gum in each pack. She gave 12 sticks of gum to manuela. This left sinah with 28 sticks of gum. Which equation can be used to represent this situation where g is the number of packs of gum that sinah bought?
Answer:
8g = 12 + 28
g = 5 packs
Step-by-step explanation:
Share of the sticks of gum
Manuela = 12 sticks
Sinah = 28 sticks
There are 8 sticks in each pack
g = number of packs of gum that sinah bought?
g × 8 sticks = 12 sticks + 28 sticks
8g = 40
Divide both sides by 8
g = 40 / 8
g = 5 packs
Which expression is equivalent to 6(7-2) PLEASE HELP ME
Answer:
A. 42 - 12
Step-by-step explanation:
6(7-2) = 6(5) = 30
A. 42 - 12 = 30
B. 13 - 8 = 5
C. 67 - 62 = 5
D. 7 - 2 = 5
Answer:
42-12
Step-by-step explanation:
I'll keep this short
You do distributive property so you do 6*7-6*2=42-12
GL, tell me if you have any questions
Lily drives 90 miles in 2 hours. If she drives at the same rate, how far does lily travel in each of the following time intervals: 1 hour, 1/2 hour, and 3 hours? Please solve in at least two different ways. You could make a bar model, double number line, ratio table, or graph.
How far does she travel in 1/2 hour?
Answer:
22.5 miles 1/2 hour - 45 miles 1 hour - 67.5 miles 1.5 hours - 135 miles 3 hours
Step-by-step explanation:
If Lily travels 90mph in 2 hours she would travel 45mph each hour. So now just take 45 times 1, 1.5, and 3 to get your answers. So in half an hour she would travel 22.5 miles
The perimeter of a rectangle is 14x - 8 feet. If the width of the rectangle is 5x, what is the rectangle's length?
Length = 2x+4
Step-by-step explanation:
P=2W+2L
14x+8 =2(5x)+2L
14x+8=10x+2L
14x+8-10x=2L
4x+8=2L
(4x+8)/2=L
2x+4=L
The table shows the rates for sending text
messages.
Are the rates proportional?
Explain.
Messages Cost
50
$6
75
$9
100
$12
The weight of a giant panda is 10 times the weight of a red panda. The combined weight of the pandas is 220 pounds. What is the weight of each panda?
Answer:
The weight of a giant panda = x = 200 pounds
The weight of a red panda = y = 20 pounds
Step-by-step explanation:
Let
The weight of a giant panda = x
The weight of a red panda = y
The weight of a giant panda is 10 times the weight of a red panda.
x = 10y
The combined weight of the pandas is 220 pounds.
x + y = 220
We substitute 10 y for x
10y + y = 220
11y = 220
y = 220/11
y = 20 pounds
Solving for x
x = 10y
x = 10 × 20
x = 220 pounds
Hence:
The weight of each panda is:
The weight of a giant panda = x = 200 pounds
The weight of a red panda = y = 20 pounds
Answer:
maek them brainliest
Step-by-step explanation:
please
good day