Answer:
A=$2100
B=$1400
Step-by-step explanation:
3500*1.06=3710
a+b=3500
1.05a+1.075b=3710
1.05a+1.05b=3675
1.05a+1.075b=3710
Subtract 1.05a+1.05b=3675 from 1.05a+1.075b=3710
0.025b=35
b=1400
a=3500-1400=2100
Double check: (2100*1.05)+(1400*1.075)=3710
3500*1.06=3710
The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
0.05a + 0.075b = (0.06 x $3500)
0.05a + 0.075b = $210 ----- equation 1
a + b = $3,500 -------- equation 2
Where:
a is the amount invested in the account that paid a 5% interest.
b is the amount invested in the account that paid a 7.5% interest.
The amount invested in the account that pays a 7.5% interest.
In order to determine this value, multiply equation 2 by 0.05
0.05a + 0.05b = 175 ------- equation 3
0.025b = 35
b = $1400
The amount invested in the account that pays a 5% interest.
a + $1400 = $3500
a = $3500 - 1400
a = $2100
Therefore, The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.
Learn more about equations here;
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Determine the value of x
Answer:
the value of x is 80
Step-by-step explanation:
Name an amount that is NOT a solution to the
inequality. Explain how you know.
answer: 20
in the number line, you can see that the dot on 20 is an open circle. this means that it is not included. so 20 could be one of the answers.
- anything greater than 20 would be an answer.
Which operation should be performed on both sides of this equation to solve for x?
x +4= 6
A
В.
add 4
add the opposite of 4
C.multiply by the reciprocal of 4
D. multiply by the opposite reciprocal of 4
Answer:
B. add the opposite of four
Step-by-step explanation:
x + 4 = 6
x + 4 + (-4) = 6 + (-4)
x + 4 - 4 = 6 - 4
x + 0 = 2
x = 2
HELP!!!!
When Jackson moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 24 inches tall and Tree B was 36 inches tall. Each year thereafter, Tree A grew by 10 inches per year and Tree B grew by 7 inches per year. Let A represent the height of Tree A t years after being planted and let B represent the height of Tree B t years after being planted. Write an equation for each situation, in terms of t, and determine the height of both trees at the time when they have an equal height.
Answer:
For tree A: 24+10t
For tree B: 36+7t
They are at the same height at 4 years at a height of 64 inches
Step-by-step explanation:
To figure out when the trees are at the same height make the equations equal to each other and solve for T
24+10t=36+7t
Subtract 24 and 7t from both sides to get
3t=12
divide by 3 to get
t=4
This means at t=4 they are at equal height so we plug this into any of the equations
24+10*4
this is equal to 64
We can double check by plugging t=4 into the second equation
36+7*4
36+28=64
Based on a 4-week work month and a 40-hour
workweek, which amount is closest to the combined
hourly wage needed for this family to pay its
budgeted expenses?
A
$1,107.50
B
$27.69
(с
$110.75
D
$55.38
Answer:
$27.69
Step-by-step explanation:
Given
Monthly budget (See attachment)
[tex]Month = 4\ weeks[/tex]
[tex]Week = 40 \ hour[/tex]
Required
Determine the closest hourly wage
From the attachment, the monthly budget is:
[tex]Budget = \$ 4430[/tex]
First, we calculate the closest weekly earnings.
Since a month = 4 weeks.
Then
[tex]Weekly\ Earnings = \frac{\$4430}{4}[/tex]
[tex]Weekly\ Earnings = \$1107.5[/tex]
Next, we calculate the hourly earnings:
Since 1 week = 40 hour
Then
[tex]Hourly\ Earnings = \frac{\$1107.5}{40}[/tex]
[tex]Hourly\ Earnings = \$27.6875[/tex]
From the list of options, the closest is: $27.69
Pls help offering 20 points D:
Answer:
ok,soo I found out that when you add one of the y values to positive 9 it gives you the exact x value which is correct
Please help solve this
Answer:
Step-by-step explanation:
in one kilometer theres 0.6214 mile and in 75 there 120 kilometers
HELPPP PLZ I WILL GIV BRAINLIESTWhat is the
تران
0 1
Answer:
2/7
Step-by-step explanation:
got 100%
Answer:
B. 1 1/12
Step-by-step explanation:
You're welcome
What percent of 72 is 16?
( My answer sheet says it’s 30
Help me in math aaaaaaa
Answer:
105
Step-by-step explanation:
180 - 140 = 40
180 - 145 = 35
35+ 40 = 75
180 - 75 = 105
a = 5
Answer:
105
Step-by-step explanation:
interior angle next to 145 is 180-145=35
interior angle next to 140 is 180-140=40
angle a= 180-35-40=105
On the summit of a mountain, rising 784 1/5 meters from the sea level, is put a tower raising a height of 38 1/25 meters. On the roof of this tower is a lightning rod with a height of 3 4/5 meters. At what height above sea level is the very top of the lightning rod?
Answer:
826 1/25
Step-by-step explantion
What I did is I added up 784 1/5 + 3 4/5 = 788 then I added 788 + 38 1/25 and I got 826 1/25. You can add the numbers up in any order but I did it in this order because I would get a whole number in the first step!
Answer:826 1/25
plz trust me
Please help thank you
Answer:
xy/2
Step-by-step explanation:
xy/2x1
Jamie cut a rope into thirds. He used two of the pieces to make a swing. He used equal lengths of the leftover rope on four picture frames. What fraction of the original rope did he use for each picture frame
Answer:
Step-by-step explanation:3/4
1/12
I had this on one of my questions
In a bag of Starbursts, 30% of the bag is pink. There are 90 pink starbursts in the bag. How many Starbursts are in the bag?
Answer:
27
Step-by-step explanation:
3/10 / 30% / .3
3 x
10 90 -use criss cross method so 3 and 90 and x times 10
270 =10x
27=x
you can also go on a calculator and type 90 times 0.3 and get the answer too
Can anyone help me with this?
Answer:
its option c kskskwoodid djekeo e ekekwl skewered dokekwowkwkw ekekekkr
Answer:
purple green blue is what it looks like
Summer Sports is having a sale. A volleyball has an original price of $59. It is on sale for 65% off the original price. What is the sale price of the volleyball?
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answer:
y=-2/3x+3
Step-by-step explanation:
The y intercept is (0,3)
another point on the graph is (3,1)
2(-3x + 5) = -4(x + 4)
Answer:
5x - 3 = 3x - 5
2x = -2
x = -1
hope it helped you
Answer:
x=13
Step-by-step explanation:
Any help? Bsbhsjsjsjjsjsjsjsjjsjsjsjsjsjsjs
Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?
A. 200
B. 31
C. 12
D. 10
The required a combination of different possible total scores could Miles get with three darts nC3.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
here,
The question seems to be incomplete,
So this solution is standard by certain assumptions.
Let the on the board there are n number of scores listed,
So the different possible total scores could Miles get with three darts
Is given as by combination = nC3
Thus, the required combination of different possible total scores could Miles get with three darts nC3.
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All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the volume changing when each edge is 5 centimeter(s)
Answer:
(a).The volume of cube is changing at the rate [tex]450 cm^3/s[/tex]
Step-by-step explanation:
Let x be the side of cube
[tex]\frac{dx}{dt}=6 cm/s[/tex]
We have to find the rate at which volume of cube changing when edge is 5 cm.
We know that
Volume of cube, V=[tex]x^3[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=3x^2\frac{dx}{dt}[/tex]
Substitute the values
[tex]\frac{dV}{dt}=3(5)^2\times 6[/tex]
[tex]\frac{dV}{dt}=450 cm^3/s[/tex]
Hence, the volume of cube is changing at the rate [tex]450 cm^3/s[/tex]
What is the simplified form of 5√x• 5√x•5√x•5√x
Answer:
i could be wrong but (5√x)^3
Step-by-step explanation:
im ot sure though
Answer is
(5√x)^3
Step-by-step explanation:
Evaluate the expression when m=25 and n=2
Answer:
what the expression, lmk in comments and then i will help you :)
Step-by-step explanation:
Hellen used a coupon she received in the mail at a local boutique that decreased her purchase of $85.20 by $12.78. Her sister used the same coupon and decreased her purchase of $63.80 by $9.57. Write the equation of a line, in the form y = mx + b, to model this linear relationship.
Answer:
y = 12665 (100⁻¹) + b
Step-by-step explanation:
To model this relationship, you're to write the equation of a line; in the form
y = mx + b
Now let y represent the full coupon value,
mx represent the amount spent by Hellen and her sister
and b, the change that's left on the coupon.
So, the summary of Hellen's transaction is:
$85.2 became $(85.2 - 12.78) which is = $72.42
The summary of her sister's transaction is:
$63.8 became $(63.8 - 9.57) which is = $54.23
So y - (72.42 + 54.23) = b
y - 126.65 = b
y = 126.65 + b
Separating m from x in mx, you have
y = 12665 x 1/100 + b
y = 12665 (100⁻¹) + b
Where m = 12,665 and x = 100⁻¹
A radial saw has a blade with a 6-in radius.
Suppose that blade spins at 1000 rpm.
Find the angular speed of the blade in
rad/min.
Answer:
The angular speed of the blade is of 166.67 rad/min
Step-by-step explanation:
The velocity, is given by the following equation:
[tex]v = rw[/tex]
In which r is the radius and w is the angular speed.
We use this relation to solve this question;
We have that:
[tex]v = 1000, r = 6[/tex]. We want to find w. So
[tex]v = rw[/tex]
[tex]1000 = 6w[/tex]
[tex]w = \frac{1000}{6}[/tex]
[tex]w = 166.67[/tex]
The angular speed of the blade is of 166.67 rad/min
What’s the slope of the line?
Answer:
the slope is 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Slope = change in y / change in x
Slope = 1 / 1 = 1
Hope this helps :D
helps!! will give brainliest
a) the graphs of a equation are parallel
PLEASEEEE HELPPP MEEEEE OUTTTTT
Answer: No.
Step-by-step explanation: This is because the sum of 2 side lengths has to be greater than the remaining side length. 3+6 is not greater than 9, so a triangle cannot be formed.
Which benchmark is 1 7 is closest to
Answer:
I need points
Step-by-step explanation:
Answer:
They use these benchmarks to help compare the relative sizes of fractions, through ... Understanding why a fraction is close to zero, one half or one helps students ... "7/8 is closer to one because eighths are smaller parts than sixths and 7/8 is ...
Step-by-step explanation:
∅,∅ ∅ω∅hope this helpsHelppppppppppppp!!!!!!
Answer:
1. V(12) = $ 1200
2. V(20) = $ 4800
Step-by-step explanation:
The following data were obtained from the question:
V(t) = 150 × 2ᵗ/⁴
V(12) =?
V(20) =?
1. Determination of V(12)
Time (t) = 12 years
V(12) =?
V(t) = 150 × 2ᵗ/⁴
V(12) = 150 × 2¹²/⁴
V(12) = 150 × 2³
V(12) = 150 × 8
V(12) = $ 1200
2. Determination of V(20)
Time (t) = 20 years
V(20) =?
V(t) = 150 × 2ᵗ/⁴
V(20) = 150 × 2²⁰/⁴
V(20) = 150 × 2⁵
V(20) = 150 × 32
V(20) = $ 4800
