Answer:
Using a rule is direct and not time wasting, which is not the case for listing functions
Juelle had $25,000 to invest. She invested part of that amount at 3% interest and part at 5% interest for one year. The amount of interest she earned for both investments was $1100. How much was invested at each rate?
Answer:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Step-by-step explanation:
Juelle had $25,000 to invest.
She invested part of that amount at 3% interest and part at 5% interest for one year.
The amount of interest she earned for both investments was $1100.
The formula for Simple Interest =
Principal × Rate × Time
Let us represent
The first amount invested at 3%= x
The second amount Invested at 5% = y
x + y= $25,000....... Equation 1
x = 25,000 - y
3% × x + 5% × y = $1100...... Equation 2
0.03x + 0.05y = 1100...... Equation 2
We substitute 25000 - y for x in Equation 2
0.03x + 0.05y = 1100
0.03(25000 - y) + 0.05y = 1100
750 - 0.03y + 0.05y = 1100
Collect like terms
- 0.03y + 0.05y = 1100 - 750
0.02y = 350
y = 350/0.02
y = 17500
Solving for x
x = 25,000 - y
x = 25000 - 17500
x = 7500
Therefore:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Calculate the mean, median and mode for each set of data.
2, 4, 7, 4, 8, 9, 12, 4, 7, 3
Answer:
mean= 6
median= 5.5
mode= 4
Step-by-step explanation:
mean is all the numbers added up then divided the total amount of numers up then divide. 2+3+4+4+4+7+7+8+9+12=60/10=6
median is the numbers lowest to highest then the middle number
2,3,4,4,4,7,7,8,9,12 the median is 5.5 because that is the middle between 4 and 7
mode is the most frequent value and that is 4 because 4 shows us 3 time and 7 showsup 2
There are 22 players in a football team 9 play defense 10 play midfield and 11 play attack. 5 play defence only 4 play midfield only and 6 play attack only How many play all three positions
Answer:
7
Step-by-step explanation:
The number of players that play all three positions will be 7 for the given data.
What are permutation and combination?When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.
The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.
As per the given,
Total players = 22
5 play defense only 4 play midfield only and 6 play attack only
5 + 4 + 6 = 15
22 - 15 = 7 play all positions.
Hence "The number of players that play all three positions will be 7 for the given data".
For more about permutation and combination,
https://brainly.com/question/13387529
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A scale on a map of a national park reads 1 inch equals 0.25 miles. The national park is roughly in the shape of a rectangle. If the map of the park is 12 inches tall and 8 inches wide, estimate the total area of the park
Answer:
24 miles
Step-by-step explanation:
12 x 8 = 96
1 in = 0.25
96 in = 24
Answer:
6m^2
Step-by-step explanation:
Set up proportions and find the length and width of the park in miles.
Length:
l = 12(0.25)
l = 3 miles
Width:
w = 8(0.25)
w = 2 miles
The area of the park is A = lw = (3)(2) = 6 mi.2
Help please due nowwwww!!!
Answer:
-0.5
Step-by-step explanation:
because each time your y axis increases it increases by -0.5
Write an inequality that represents the graph
the inequality that represents the graph is y＝3x-3
Answer:Y less than or equal to (use the sign) 3x - 3 I took the test
Help me ASAP explain and answer
Answer:
72
Step-by-step explanation:
(9+9+7^2)-4+9
(9+9+49)-4+9
67-4+9=72
I believe this is correct.
Answer:
(9+9+7^2)-4+9= 72
Step-by-step explanation:
Using PEMDAS, we can solve this problem easily. First, look for parentheses. Inside of the parentheses is an exponent, 7^2. This equals 49. Continuing to solve inside the parentheses, we get 9+9+49= 67. Now, we add and subtract from left to right. Our new equation looks like 67-4+9=?. 67 minus 4 is 63, and 63 plus 9 is 72. Thus, the answer to this equation is 72.
Hope this helps!
Which point on the number line best represents V10
Answer between 3.1 and 3.2
Answer:
The square root of 10 is 3.16. Point F is between 3.1 and 3.2.
Step-by-step explanation:
7th grade math help me please :)
Answer:
the answer is 12x2 mskksksns
Help !! Thank you !!!!
9514 1404 393
Answer:
The correct choice is marked
Step-by-step explanation:
When you end with a true statement, it means any variable value will make the equation true. There are infinite solutions.
When you end with a false statement, it means no value of the variable will make the equation true. There are no solutions.
__
The correct choice is marked in the image.
Someone help plz I need some help good at finding slope people? Anyone
Answer:
So the slope is -5/2.
Step-by-step explanation:
You want to look at the line to find the slope of it. For slope you want to find rise/run. This is the same as: change in y/change in x. awe have 2 points (the blue dots) to find slope. With this, let's find the change in y and the change in x. For those 2 dots, the change in y is down 5, which means -5 (if it was up 5 it would be 5)For change in x, it is to the right 2, which means 2 (if it was 2 to the left then it would be -2). Therefore, the slope would be change in y/change in x which is -5/2 (the 3rd option)DESPERATE (please answer with picture of the graph)
WILL MARK BRAINLIST AND THANKS
Answer:
so the square root of 23 is 4.79583152331 but rounded is 4.8 so your right where you need to be!
Step-by-step explanation:
Simplify the expression below.
3(3x + 5) – 7x – 8
Answer:
2x+7
Step-by-step explanation:
if you get pulled over what do you do?
A. Keep driving
B. get out of the car and run
C. try to hit the cops
D. tell the cops that you are a cop
E. None of the above
You will go to jail and you don't want that right? Right. So listen to the officer. Then when the time is right, break those handcuffs, push the cops on to the ground and run to the hills where no one will find you ever again.
Please help me with this
Answer:
it would be the ones where there are two lines not touching
Step-by-step explanation:
Can someone please help I don’t understand
Answer:201,06
Step-by-step explanation: the formula for the A in the circle is A= r*r*pi
r=8
pi=3,14
A=8*8*3,14=201,06
does anyone know how to solve this sin25=x/12
9514 1404 393
Answer:
x = 5.07142
Step-by-step explanation:
To solve the equation ...
sin(25°) = x/12
multiply by the denominator of the x term.
12·sin(25°) = 12(x/12)
x = 12·sin(25°)
x ≈ 5.07142
_____
You may need to round the answer to satisfy your problem requirements.
arrange the given decimal by ascending 2.0342, 2.3042, 2.3104, 2.4
Answer:
2.4, 2.3104, 2.3042, and 2.0342.
if you meant ascending, as in going upwards, just reverse what i wrote :)
Step-by-step explanation:
pleaseee help !!!!!!!
Use the picture to match each trig function with its ratio:
-5/4
-3/5
-4/5
-3/4
-5/3
Step-by-step explanation:
sinθ = Opposite/Hypotenuse = 3/5.
cosθ = Adjacent/Hypotenuse = 4/5.
tanθ = Opposite/Adjacent = 3/4.
please someone hellp
Answer:
The first one
because 8 - 3 = 5 and is not less than it
hope this helps :)
Step-by-step explanation:
Classify the triangle by its angles and sides.
6 in.
5 in.
8 in.
obtuse isosceles
acute isosceles
obtuse scalene
right scalene
Answer:
obtuse scalene since 6 square plus 5 square is 36+25= 61, and 8 squared is 64, so 61<64, and if the legs are less than the hypotenuse, it would be an obtuse triangle. all the side are also unequal so it's a scalene.
in the isosceles right triangle below, AB=10ft. what is the length in feet of AC?
Answer:
_
10\/2 is the length AC.
Heath made a $100 deposit to Wildcat Bank and Trust on Monday. Later that day, he purchased a $35 football signed by the famous
quarterback, William Hadiey. Three days later he sold the item for $90, which he deposited back into his bank account. What Is Heath's new
account balance?
Answer:
155 would be your answer
Step-by-step explanation:
100-35=65+90=155
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP I DO ANYTHING JUST HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
A train traveling from Boston to New York moves at a constant speed. The train covers 260 miles in 3.25 hours. Write an equation that represents this relationship. Explain what your equation tells you about the train.
1. Set up the variables
2. Find the C.O.P
3. Create the equation.
Kelly works at a restaurant. Today, a family of four sat at one of her tables. Each person ordered a
value meal, which has a cost of $9.50, along with a drink
, which has a cost of $1.50. If the family
also left Kelly a tip of 15%, what was the total amount that they paid?
Answer:
9.50+1.50 = 11
11*4 = 44
44/100*115= 50.6
T= $50.60
i need to find the slope from two points!show the work please
Answer:
36 is the answer I think
Step-by-step explanation:
-18(8-10)
-18 x (-2)
36
Please Help!!!!
Mei graphed the locations of several places in her town on the coordinate plane shown below. There is also
an ice cream shop halfway between the school and hospital.
At what coordinates should Mei graph the ice cream shop?
Y
9
8
Courthouse
6.
Grocery Store
5
4
3
2
1
Home
School
+ 3
1 2 3 4 5 6 7 8 9
-9 -8 -7 -6 -5 -4 -3 -2
Library
-2
Answer:
(6, -4)
Step-by-step explanation:
The ice cream shop should be between the school and hospital.
Answer:
If I’m correct you graph the ice cream store at (6, -4)
Step-by-step explanation:
Find the length of side x simplest radical form with a rational denominator
Answer:
The length of x in the simplest radical form with a rational denominator will be:
[tex]x=\frac{5\sqrt{3}}{2}[/tex]Step-by-step explanation:
Given
hypotenuse = 5
angle Ф = 60°
To determine
x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
here
Ф = 60°
adjacent of 60° = x
hypotenuse = 5
so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation
cos Ф = adjacent / hypotenuse
so
[tex]cos\:60^{\circ }\:=\:\frac{x}{5}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{x}{5}[/tex]
switch sides
[tex]\frac{x}{5}=\frac{\sqrt{3}}{2}[/tex]
Multiply both sides by 5
[tex]\frac{5x}{5}=\frac{5\sqrt{3}}{2}[/tex]
Simplify
[tex]x=\frac{5\sqrt{3}}{2}[/tex]
Therefore, the length of x in the simplest radical form with a rational denominator will be:
[tex]x=\frac{5\sqrt{3}}{2}[/tex]Layla bought a pencil for $1.25, a pen for $2.25, and three erasers for $0.45 each. She gave the cashier $10 for the items. How much change did Layla get back?
Answer:
1.25+2.25+(o.45 x 3)
=6.95
10-6.95
= got back $3.05
Step-by-step explanation:
Answer:
5.15
Step-by-step explanation:
.45 x 3 = 1.35
1.35 + 1.25 = 2.6
2.25 + 2.6 = 4.85
$10 - 4.85 = 5.15
The sum of eighteen and the product of one and a number x ?
Answer: See explanation
Step-by-step explanation:
18 + (1x)
Hope that helped!