Answer:
11.5 %
Step-by-step explanation:
mean- 125 | sd: 5
z-score: 131-125/5= 6/5= 1.2
for z= 1.2, percent: 88.49 %
100-88.49= 11.51 -> 11.5
Suppose a principal amount of $7500 was invested at an interest rate of 6%. How long did it take to reach $10650?
Based on the information how long did it take to reach $10650 is 7years.
Given:
Principal=$7,500
Rate=6%
Amount=$10650
Time=?
Simple Interest(SI)=A-P
=$10650-$7500
=$3150
Time=(100×SI)/(p×r)
T=(100×3150)/(7500×6)
T=315,000/45,000
T=7 years
Inconclusion how long did it take to reach $10650 is 7years.
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https://brainly.com/question/15610358
The period it took the $7,500 investment to reach a future value of $10,650 at a compounding interest rate of 6% is 6 years.
What is the future value?The future value refers to the compounded value of present cash flows in the future, using an interest rate.
The future value can be determined using the future value table or formula.
We can also determine the future value using an online finance calculator, which also enables us to determine the period required to get a stated future value.
Data and Calculations:PV (Present Value) = $7,500
I/Y (Interest per year) = 6%
PMT (Periodic Payment) = $0
FV (Future Value) = $10,650
Results:
N (# of periods) = 6 years
Total Interest = $3,142.17
Thus, the period it took the $7,500 investment to reach a future value of $10,650 at a compounding interest rate of 6% is 6 years.
Learn more about future values and periods at https://brainly.com/question/12890404 and https://brainly.com/question/20392017
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. linear function; linear term: x; constant term: −12
B. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
D. linear function; linear term: 6x2; constant term: −12
9514 1404 393
Answer:
C. quadratic function; quadratic term: 6x^2; linear term: x; constant term: −12
Step-by-step explanation:
A function is "quadratic" when the degree (exponent) of the highest-degree term is 2. The "quadratic" term is the one with degree 2.
The "linear" term is the one that has degree 1.
The "constant" term has no variable.
In the quadratic function ...
f(x) = 6x^2 +x -12
the quadratic term is 6x^2
the linear term is x
the constant is -12
Answer: The answer is either letter B or letter C
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Step-by-step explanation:
Find the degree of the function to determine if linear. f ( x ) = 6 x 2 + x − 12 is not a linear function
Nothing further can be done with this topic. Please check the expression entered or try another topic. f ( x ) = 6 x 2 + x − 12
14/3, 343/32, 26/3 all in its simplest form
Answer:
Step-by-step explanation:
14/3 = 4⅔
343/32 = 10 ²³/₃₂
26/3 = 8⅔
7.) Solve the system of equations
below.
-2x + 3y = 9 2/3x + 2y = 0
Answer:
So lets isolate y
we have
-2x+3y=9
2/3x +2y=0
Im gonna do the first equation
so -2x + 3y = 9
Add 2x on both sides
3y= 9+ 2x
Now divide by 3 to isolate y
y= 3+ 2/3x
Now we can subsitute y into any eqaution (I’m gonna do the second one) to solve.
2/3x+ 2(3+ 2/3x)= 0
Solve:
2/3x+ 6 + 4/3x = 0
6/3x +6= 0
2x+6=0
2x= -4
x= -2
Now we can subsitute this for any equation.
so I’m gonna do the first equation
-2(-2)+3y=9
4+3y=9
3y= 5
y= 5/3
y= 1 2/3
Final answer:
x=-2
y= 1 2/3
13. A stack of lumber contains the following: three 1" x 6" X 8' pieces of yellow pine. six 2" x 10" x 12' pieces of redwood. six 1" x 8" 10' pieces of fir. How many total board feet of lumber are in this stack? *
180 board ft
162 board ft
192 board ft
172 board ft
Answer:
Step-by-step explanation:
A board foot is 1 inch thick by 1 ft by 1 ft
(3) 1 x 6 8' are already 1 inch thick ½ ft wide and 8 ft long
3 x 1 x (6/12) x 8 = 12 board ft.
(6) 2" x 10" x 12' are 2 thick x 10/12 ft wide by 12 ft long
6 x 2 x (10/12) x 12 = 120 board ft.
(6) 1" x 8" x 10'
6 x 1 x (8/12) x 10 = 40 board ft
12 + 120 + 40 = 172 board ft
It takes 14 pints of blueberries to make 4 jars of blueberry jam.
Answer:It takes 14 pints of blueberries to make 4 jars of blueberry jam.
Step-by-step explanation:
Which expression represents 81 decreased by an unknown number?
81÷a
81a
81−a
81 + a
Answer:
81 - a
Step-by-step explanation:
Decreased
means to subtract
81 –
by an unknown number
means a variable such as a or x
therefor
81 – a
Express (x+5)^2 as a trinomial in standard form.
Answer:
x² + 10x + 25
Step-by-step explanation:
(x + 5)(x + 5)
using FOIL method
First x•x = x²
Outside x•5 = 5x
Inside 5•x = 5x
Last 5•5 = 25
add like terms together.
Answer:
x^2 + 25 + 10x
= x^2 + 10x + 25
Step-by-step explanation:
( x + 5 )^2
Formula : -
( a + b )^2 = a^2 + b^2 + 2ab
Here,
a = x
b = 5
( x + 5 )^2
= x^2 + 5^2 + 2 ( x ) ( 5 )
= x^2 + 25 + 10x
Create polynomial functions using the given information:
A degree 9 polynomial with at max 5 positive zeros and at max 3 negative zeros
It's pretty much simple. Since we can factor a polynomial by its zeros, lets write one of degree nine :
X(X-1)(X-2)(X-3)(X-4)(X-5)(X+1)(X+2)(X+3)= X^9-9X^8+6X^7+126X^6-231X^5-441X^4+944X^3+324X^2-720X
This polynomial is of degree 9 and has exactly 5 strictly positive zeros : 1, 2, 3, 4, 5
And it has 3 negative zeros : - 1, -1, - 3
And it has 0 as a zero too.
There is also this one :
(X-1)(X-2)(X-3)(X-4)(X²+1)(X+1)(X+2)(X+3) = X^9-4X^8-13X^7+52X^6+35X^5-140X^4+13X^3-52X^2-36X+144
It has 4 positive zeros : 1, 2, 3, 4.
It has complex zeros : i and - i
3 negative zeros : - 1, - 2 , - 3
Good Luck
The enrollment in summer stuff camp went from 10 people to 28 in 5 days. What was the percent of the increase in enrollment
Answer:
140%
Step-by-step explanation:
28-10 = 14 person enrolled
14/10 = 140%
using the distributive property, rewrite the expression (-2x - 8) (-6)
please help and explain how to do it
Answer:
2x8=16-6=10
Step-by-step explanation:
10 is the answer
A baker needs to arrange 487 cookies on plates.
Each plate can hold 8 cookies. How many plates will
the baker need
Based on the information given the number of plates that the baker will need is 61 plates.
Using this formula
Number of plates=Number of cookies arranged/Each plates number of cookies
Where:
Number of cookies arranged=487
Each plates number of cookies=8
Let plug in the formula
Number of plates=487/8
Number of plates=60.9
Number of plates=61 plates (Approximately)
Inconclusion the number of plates that the baker will need is 61 plates.
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The image of (-6,6) after a dilation by a scale factor of 5 centered at the
а
-5/8 - (-4/3)
Pls help
Answer:
Step 1 of 2: Subtract.
Subtract
(
negative 5 over 8
−
5
8
) − (
negative 4 over 3
−
4
3
) =
17 over 24
17
24
Step 1 of 2: Subtract, sub-step a: Subtract a negative.
Subtract a negative
negative 5 over 8
−
5
8
− (
negative 4 over 3
−
4
3
) =
negative 5 over 8
−
5
8
+
4 over 3
4
3
Subtracting a negative is the same as adding a positive.
Step 1 of 2: Subtract, sub-step b: Find common denominator.
Find common denominator
negative 5 over 8
−
5
8
+
4 over 3
4
3
= −
( 5 × 3 ) over ( 8 × 3 )
5 × 3
8 × 3
+
( 4 × 8 ) over ( 3 × 8 )
4 × 8
3 × 8
=
negative 15 over 24
−
15
24
+
32 over 24
32
24
24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step c: Add.
Add
negative 15 over 24
−
15
24
+
32 over 24
32
24
=
(
negative 15
−15 + 32 ) over 24
negative 15
−15 + 32
24
=
17 over 24
17
24
Answer:
The answer would be 17/24
Step-by-step explanation:
1. Common denominator is going to be 24. 3(-5/8) - 8(-4/3)
2. Next multiply. -15/24 + 32/24
3. After addition you get 17/24 or 0.7
Write slope intercept form of th equation of each line
Answer:
y = 8/5x + (-4) or y = 8/5x -4
Step-by-step explanation:
Slope-intercept form is written like this:
y = mx + b
The variable m, represents slope and b, represents the y-intercept.
To find slope, you have to find the rise/run or in other words, change of y over change of x.
From the look of the line, the slope has to be positive because the line is going up.
To go from the bottom point to the top, we have to go up 8 points and go to the right 5 points. Thus the slope is 8/5.
Now for the y-intercept. This part is easy. Just ask yourself this...
"Which of the two points is on the y-axis?"
In this case, it is the bottom point which is -4.
So your equation should look like this:
y = 8/5x + (-4)
or y = 8/5x - 4 because when you have a plus sign and a minus sign, the result is negative.
hope this helps :)
What is the equation (y=mx+b) for the points (3,-1) and (4,7) PLZ SHOW HOW YOU GOT THE Y-INTERCEPT
Answer:
[tex]y=8x-25[/tex]
Step-by-step explanation:
The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):
[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]
The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:
[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]
Now we have both the slope and the y-intercept so you can write the equation for the line:
[tex]y=8x-25[/tex]
You can test that either by checking y for some value of x, or by graphing.
I NEED HELP special right triangle 45-45-90
Answer:
x=6
y=9
Step-by-step explanation:
plz help meeeee ty if you doooo
Answer:
[tex]\mathsf{\: \frac{24}{35} }[/tex]
Step-by-step explanation:
Given the addition of two unlike fractions, [tex]\mathsf{\frac{2}{5} \: +\:\frac{2}{7} }[/tex] :
We could only add those two fractions if they have the same denominator.
In order to do so, we must determine their least common denominator (LCD), which happens to be 35.
Next, perform the following mathematical operations:
[tex](\mathsf{\frac{2}{5} \:\times\frac{7}{7}}) + (\mathsf{\frac{2}{7} \:\times\frac{5}{5}})[/tex] = [tex]\mathsf{\frac{14}{35} \:+ \:\frac{10}{35}}[/tex] = [tex]\mathsf{\: \frac{24}{35} }[/tex]
Therefore, the correct answer is Option 3: [tex]\mathsf{\: \frac{24}{35} }[/tex].
Answer:
Answer
.sudor I think its B???!!!
Which relation is not a function?
Plzzzzz help
Among the following rational numbers,
which has the greatest value?
A. 0.34
B. 0.34
C. 0.34
D. 0.343
E. 0.3409
Answer:
D. 0.343
Step-by-step explanation:
You can see the first three options as 0.340 so if you substract this number with 0.343 the remainder is positive 3.
This strategy also can be applied to the number 0.3409 but in this occasion the result is different:
[tex]0.343 - 0.3409 = 2.1\times 10^{-3}[/tex]
That is small number but still is positive that's meaning that between 0.343 and 0.3409 the greatest value is 0.343 .
Help help help help
Answer:
a = (3,6)
b = (9,-3)
c = (-12,-6)
Step-by-step explanation:
Multiply the values of the cordinates by the 3.
(1.2)
3,3
a = (3,6)
(3,-1)
3,3
b = (9,-3)
(-4,-2)
3,3
c = (-12,-6)
find the velue of y? y²=169
Answer:
-13 or 13
Step-by-step explanation:
Since we are looking for the square root of 169, we realize that 13 multiplied by itself equals 169. Negative 13 does the same, so it is the answer.
Brainliest if correct
Answer:
Just pick 2 coins to compare (I mean the directions say compare 2).
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
are the most standardized coins and rougly inreplicable so deemed old in value , assertion would be the best way to value these coins.
Q4). If the ordered pairs (x+1,5) and (4,x+2y) are equal then find x and y.
Step-by-step explanation:
Given that (x+1,5) = (4,x+2y)
⇛ x+1 = 4 and 5 = x+2y
⇛ x = 4-1
⇛ x = 3
now
5 = x+2y
⇛ 5 = 3+2y
⇛ 5-3 = 2y
⇛ 2 = 2y
⇛ 2y = 2
⇛ y = 2/2
⇛ y = 1
Therefore, x = 2 and y = 1
What is 64 minutes as mixed number? (i'm pretty sure it might be
[tex]1 \frac{?}{?} [/tex]
but i don't know)
Answer:
1 1/15
Step-by-step explanation:
64 minutes is the same thing as 64/60 minutes.
64 goes into 60 once. 64-60=4, so that would be your numerator. You would keep the denominator as 60, since it's still out of 60.
If you put those numbers together your fraction would be
1 and 4/60, if you want to simplify, 60/4=15, so 1 and 1/15 would be your fraction.
Hope this helped!
What is 2,000/3.67 estimate
Answer:
an estimate would be 2000/4 so it would be 500
Step-by-step explanation:
hope this helped <3
Graph this equation on the coordinate plane. y=−4/5x−1
Answer:
I attached an image.
Step-by-step explanation:
Answer:
(X then y)
(0,-1) (5,-5)
Step-by-step explanation:
I did the test
HELP PLS
Answer:
the anser is the first one
Glasses cost $0.50. You buy 2. How much do you pay?
Answer:
1 dollar
$1.00
$1
Step-by-step explanation:
A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?