Answer:
FV= $12,450
Step-by-step explanation:
Giving the following information:
David invests $10,000 in a savings account that pays 3.5% simple interest.
To calculate the future value, we need to use the following formula.
FV= PV*(1+i*n)
n= 7
i= 0.035
PV= 10,000
FV= 10,000*(1+0.035*7)
FV= $12,450
Which of these below correctly solves for y of
the equation 3x - 2 = 4y + 5?
Answer:
y=3/4x+−7/4
Step-by-step explanation:
Step 1: Flip the equation.
4y+5=3x−2
Step 2: Add -5 to both sides.
4y+5+−5=3x−2+−5
4y=3x−7
Step 3: Divide both sides by 4.
4y4=3x−74
How many solutions does the following equation have?
3(x+5) = -4x+ 8
Choose 1 answer:
А No solutions
BExactly one solution
CInfinitely many solutions
A soccer team is having a car wash. The team spent $55 on supplies. They earned $275, including tips. The team’s profit is the amount the team made after paying for supplies. Write a sum of integers that represents the team’s profit.
Answer:
-55 + 275
Step-by-step explanation:
You add the total earned to the expenses. The expenses are a negative integer.
-55 + 275
Qual a expressão algébrica representa o perímetro das figuras a seguir:
Answer:
mom
Step-by-step explanation:
You are going to the mall with your friends and you have $200 to spend from your recent birthday money. You discover a store that has all jeans for $25 and all dresses for $50. You really, really want to take home 6 items of clothing because you "need" that many new things.
Answer:
4 Jeans and 2 dresses
Step-by-step explanation:
25×4=100
50×2=100
You want to take home 6 items of clothing. you can buy 4 jeans and 2 all dresses using 200 dollars .
Given :
You discover a store that has all jeans for $25 and all dresses for $50
Total of 6 items needed
Total amount you can spend is 200 dollars
Let x be the number of jeans and y be the number of all dresses
Lets frame equations using x and y
Total of 6 items ,
[tex]x+y=6\\y=6-x[/tex]
all jeans is for $25 and all dresses is for $50. total of 200 dollars can spend
[tex]25x+50y=200[/tex]
Substitute y=6-x in second equation
[tex]25x+50(6-x)=200\\25x+300-50x=200\\-25x+300=200\\-25x+300-300=200-300\\-25x=-100\\\frac{-25x}{-25}=\frac{-100}{-25}\\x=4[/tex]
Now substitute x=4 in first equation
[tex]y=6-x\\y=6-4\\y=2[/tex]
you can by 4 jeans and 2 all dresses
Learn more : brainly.com/question/12526075
A national standardized test is graded on a scale from 1 to 5. The scores for a particular school are given below. If a student is chosen at random, what is the probability that they scored a 4 or a 5?
Answer:
60%
Step-by-step explanation:
NWEA2020 Mom Helped Meh
Answer:
60%
Step-by-step explanation:
Im good with a scientific calulator.
Find the missing power in the following calculation:108/9 · 10? = 10
Answer:
108/9 needs to be raised to the power of 0
Step-by-step explanation:
Any number that has an exponent of 0 equals 1. So:
(108/9)^0x10=10
Dan Pawlik is paid a straight commission of $5.75 for each item he sells. Last month he sold 103 items. Find his estimated and exact commissions.
Answer:
[tex]Estimated\ Commission = \$618[/tex]
[tex]Exact\ Commission = \$592.25[/tex]
Step-by-step explanation:
Given
[tex]Commission = \$5.75[/tex]
[tex]Items = 103[/tex]
Required
Find the estimate and exact commission
Estimate Commission
First, we need to approximate the given commission
[tex]Commission = \$6[/tex]
[tex]Estimated\ Commission = Commission * Items[/tex]
[tex]Estimated\ Commission = \$6 * 103[/tex]
[tex]Estimated\ Commission = \$618[/tex]
Exact Commission
[tex]Exact\ Commission = Actual\ Commission * Items[/tex]
[tex]Exact\ Commission = \$5.75 * 103[/tex]
[tex]Exact\ Commission = \$592.25[/tex]
Two students raced their model cars down a track. The first car traveled
at 40 centimeters per second. The second car traveled at 45 centimeters
per second. If the cars started at the same time, how far apart were the
cars after 3 seconds?
The difference in speed is 45-30 = 5 centimeters per second.
5 centimeters per second x 3 seconds = 15 centimeters.
They were 15 centimeters apart
A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible number of matches played when four players are left?
The least possible number of matches played when 4 players are left is 37 matches.
The given parameters;
total number of players in the tournament = 117 playersnumber of players to be eliminated after losing 3 matches = 1let the number of matches played when 4 players are left = nThe least possible number of matches played when 4 players are left is calculated as;
117 - 1(3n) = 4
117 - 3n = 4
3n = 117 - 4
3n = 113
divide both sides by 3
[tex]n = \frac{113}{3} \\\\n = 37.67 \\\\n \approx 37 \ matches[/tex]
Thus, the least possible number of matches played when 4 players are left is 37 matches.
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The line segment is extended to cross both axes. What is the location of the y-intercept on the line?
0 (0, -22)
0 (0, -10)
0 (0, -5)
0 (0,5)
Answer: B. (0,-10)
(I got it right in the exam review.)
Answer:
The answer is B.
Step-by-step explanation:
Function or not ? Please help me thanks
Answer:This graph parabola is not a function
How do you do these questions?
Step-by-step explanation:
The width of each interval is Δx = (4−1)/6 = 1/2.
a) Evaluate the function at the beginning and end of each interval.
f(x) = 7√(ln x)
f(1) = 7√(ln 1) = 0
f(1.5) = 7√(ln 1.5) ≈ 4.4573300
f(2) = 7√(ln 2) ≈ 5.8278823
f(2.5) = 7√(ln 2.5) ≈ 6.7006153
f(3) = 7√(ln 3) ≈ 7.3370295
f(3.5) = 7√(ln 3.5) ≈ 7.8348826
f(4) = 7√(ln 4) ≈ 8.2418702
Calculate the area of each trapezoid.
T₁ = ½ (0 + 4.4573300) (1/2) = 1.1143325
T₂ = ½ (4.4573300 + 5.8278823) (1/2) = 2.5713031
T₃ = ½ (5.8278823 + 6.7006153) (1/2) = 3.1321244
T₄ = ½ (6.7006153 + 7.3370295) (1/2) = 3.5094112
T₅ = ½ (7.3370295 + 7.8348826) (1/2) = 3.7929780
T₆ = ½ (7.8348826 + 8.2418702) (1/2) = 4.0191882
The total area is therefore:
T = 1.1143325 + 2.5713031 + 3.1321244 + 3.5094112 + 3.7929780 + 4.0191882
T = 18.139337
b) Evaluate the function at the midpoint of each interval.
f(1.25) = 7√(ln 1.25) ≈ 3.3066651
f(1.75) = 7√(ln 1.75) ≈ 5.2365230
f(2.25) = 7√(ln 2.25) ≈ 6.3036165
f(2.75) = 7√(ln 2.75) ≈ 7.0404861
f(3.25) = 7√(ln 3.25) ≈ 7.5996115
f(3.75) = 7√(ln 3.75) ≈ 8.0477348
Calculate the area of each rectangle.
M₁ = (3.3066651) (1/2) = 1.6533325
M₂ = (5.2365230) (1/2) = 2.6182615
M₃ = (6.3036165) (1/2) = 3.1518082
M₄ = (7.0404861) (1/2) = 3.5202431
M₅ = (7.5996115) (1/2) = 3.7998057
M₆ = (8.0477348) (1/2) = 4.0238674
The total area is therefore:
M = 1.6533325 + 2.6182615 + 3.1518082 + 3.5202431 + 3.7998057 + 4.0238674
M = 18.767318
c) Simpson's rule can be calculated as:
S₆ = Δx/3 [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + 4f(x₅) + f(x₆)]
S₆ = (1/2)/3 [0 + 4(4.4573300) + 2(5.8278823) + 4(6.7006153) + 2(7.3370295) + 4(7.8348826) + 8.2418702]
S₆ = 18.423834
Absolute Value is the distance front any point to zero. This distance can be positive or
negative depend in which direction the point is located
Is this statement true or false?
Answer:
False
Step-by-step explanation:
Absolute value is always positive no matter what you do.
I have attached an image for you so you can understand it better.
Hope I helped!
Find the area of the shaded region.
Answer:555
Step-by-step explanation:558 +3
Which graph shows f(x) = |x| reflected across the x-axis, translated 2 units down and 1 unit to the left?
Answer:
First question is B
Second question is also B :)
Step-by-step explanation:
If the function is translated 2 units down and 1 unit to the left. Then the function will be f(x) = |x + 1| - 2
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function is f(x) = |x|.
If the function is translated 2 units down and 1 unit to the left. Then the function will be
f(x) = |x + 1| - 2
The graph is shown below.
More about the function link is given below.
https://brainly.com/question/5245372
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five million divided by fivethousand
Answer:
1000 (one thousand)
Step-by-step explanation:
Answer:
5,000,000/5,000 = 1000
Step-by-step explanation:
Take 5 million and divide by 5 thousand like so and you'll come out with 1000. Also, this is an easy one to plug into a calculator.
Covert 67 inches to centimeters.
a. 17.01 cm
b. 26.38 cm
c. 170.18 cm
d. 263.80 cm
Answer:
c-179.18
Step-by-step explanation:
hope this helps
The coordinates of point P are (7,1). What are the coordinates of the image of P after R90° about the origin?
The coordinates of point P are (7,1). What are the coordinates of the image of P after R90° about the origin
Answer: (-1,7)
The coordinates of the image of the point P(7, 1) after 90° rotation about the origin is P'(-1, 7).
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
One of the transformation is Rotation.
Rotation is the type of transformation where the image is the resultant of transformation made by rotation to a certain degree.
A point (x, y) when rotated 90° counterclockwise results in another point (-y, x).
Here the given point is (7, 1).
After rotation through 90°, the point is (-1, 7).
Hence the image has the coordinates (-1, 7).
To learn more about Transformations, click on the link given below :
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Simplified
2(x + 8) + 3(x -9)
Answer:
5x - 11
Step-by-step explanation:
Step 1: Write out expression
2(x + 8) + 3(x - 9)
Step 2: Distribute
2x + 16 + 3x - 27
Step 3: Combine like terms (x)
5x + 16 - 27
Step 4: Combine like terms (constants)
5x - 11
The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random will conform to the specifications on voltage
Answer:
0.9876
Step-by-step explanation:
Given a normal distribution :
Mean(m) of distribution = 5V
Standard deviation (sd) = 0.02 V
Lower voltage specification = 4.95
Upper voltage specification = 5.05
Using the Zscore formula :
(x - m) / sd
x = 4.95
(4.95 - 5) / 0.02
-0.05 / 0.02 = -2.5
P(Z ≤ -2.5) = 0.0062
x = 5.05
(5.05 - 5) / 0.02
0.05 / 0.02 = 2.5
P(Z ≤ 2.5) = 0.9938
P(Z ≤ 2.5) - P(Z ≤ -2.5)
0.9938 - 0.0062 = 0.9876
You invested $7,000 in two accounts paying 6% and 8% annual interest. If the total interest earned for the year was $520, how much was invested at each rate?
Answer: Answer: 2000 was invested into 6%, 5000 was invested Into 8%
Step-by-step explanation:
8% of 5000 = 400
6% of 200 = 120
Y as a function of x graph
Answer:
complete the question please
Step-by-step explanation:
1. Simplify (x2 + 3) - (4x2 – 7)
Answer:
3x^2
———
28
Step-by-step explanation:
1 . x^2
Simplify ——
7
2. 3 x2
— • ——
4 7
3. 3
Simplify —
4
4.3 x2
— • ——
4 7
Eggs can be packaged 12 ( 1 dozen ) to a carton while English muffins are generally sold in packages of 8 . How many of each would you buy to make egg muffin sandwiches ( 1 egg per muffin ) so that you would use the same number of eggs and muffins with no extra eggs or muffins left over ? Explain how you solved the problem .
Answer:
2 cartons of eggs and 3 bags of English muffins
Step-by-step explanation:
2x12 = 24 and 3x8= 24
Which is greater 4.08 or 4.1
Answer:
4.1 is greater
Step-by-step explanation:
4.1 is greater than 4.08 by 0.02 units
Answer:
4.1
Step-by-step explanation:
4.1 can also be written as 4.10 . Now if we compare 4.08 & 4.10 then in 4.10 , then
4.10 > 4.08 (because 0.10 is greater than 0.08 by 0.02 units )
Bill drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Bill
drove home, there was no traffic and the trip only took 5 hours. If his average rate was 18 miles per hour faster on the
trip home, how far away does Bill live from the mountains?
Do not do any rounding.
Answer: 315 miles
Step-by-step explanation:
let onward speed = x mph, then distance = 7x
return speed = (x+18) mph, (same) distance = 5(x+18)
equating the two,
7x = 5(x+18)
2x = 90 ==> x = 45 mph
so distance = 7*45 = 315 miles
please help SOS. I have an exam tomorrow. This theme will be on exam
Answer:
(x - 1) (x + 3) (x + 5)
Step-by-step explanation:
The constant at the end (-15) can only be factored into 1, 3 and 5, assuming integers. Then, you only have to choose which one of these gets the minus sign.
I'm not sure if this approach will work in general, but it works for this one.
-4.2 + 3.3 and I’ve been getting -7.5
Answer: Your answer should be -0.9
Step-by-step explanation:
You just multiply the numbers in the exact order it is in
I will give brainliest answer
Answer:
Isnt it 12? the first rectangle says 2 on one side and 6 on another. The rectangle didn't change shape, but position.
Am I right??
