Suppose you have a student loan of $45,000 with an APR of 9% for 30 years. Complete parts (a) through (c) below.
Richie is planting a rectangular garden with a perimeter of 39 feet. The length is twice the width. Find the dimensions of the garden
Answer:
l=13 ft
w=6.5 ft
Step-by-step explanation:
a rectangular garden would have 4 sides
two of the sides are x feet long
and the other two sides are 2x feet long
therefore
x+x+2x+2x=39
which is the same as saying
6x=39
divide both sides by 6 to get
x=6.5
so the width is 6.5 feet and the length is twice that or 13 feet
The shorter leg of a right triangle is 9 ft shorter than the longer leg. The hypotenuse is 9 ft longer than the long leg. Find the sides of the triangle
Answer and Step-by-step explanation:
|\
| \
| \
| \
| \
| \ 9 + x
x - 9 | \
| \
| \
| \
| \
|_____________\
x
That is your triangle.
Now, since its a right triangle, we can use the Pythagorean theorem to solve for x.
The equation for the Pythagorean theorem is this: [tex]A^{2} + B^{2} = C^{2}[/tex]
So we plug in the values.
[tex](x^{2} ) + (x-9)^{2} = (x + 9)^{2}[/tex]
We solve for x.
[tex]x^{2} + x^{2} -18x + 81 = x^{2} + 18x + 81[/tex]
Get everything to the left side of the equation. (x^2 + x^2 = 2x^2, - x^2 = x^2;
-18x - 18x = -36x; 81 - 81 = 0)
[tex]x^{2} -36x = 0[/tex]
Add 36x to both sides, then divide by x.
[tex]x^{2} = 36x\\\\x = 36[/tex]
Shortest Leg = 36 - 9 = 27
Longest Leg = 36
Hypotenuse = 45
#teamtrees #WAP (Water And Plant)
Charlotte made a bracelet using red, gray, and white beads.
Five-ninths of the bracelet is white.
The rest of the bracelet has an equal amount of red and gray.
How much of Charlotte's bracelet is gray?
Solve.
The number line shows xx
3
ODIO
AN
1
a.
Each fourth on the number line is divided into
how many equal parts?
b. Each of these parts is what fraction of the whole?
C.
How many eighths of the whole are shaded?
d. -
X
Step-by-step explanation:
answer for d is 3 over 8....
that's all I know from the qn and can help u... sorry
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answer:
5.5
Step-by-step explanation:
If the graph of a line goes from the upper left corner of the graph to the lower right corner what can you say about its slope ?
Answer: You can say that the slope is negative since the graph is decreasing.
Step-by-step explanation:
write three hundred and sixteen thousand, two hundred and twenty-ninety in numerical form
Answer: 316,229
Step-by-step explanation:
Solve for y
2(3 + 3y) + y = 11
2(3 + 3y) + y = 11
First, apply the distributive property:
2(3 + 3y) + y = 11
6 + 6y + y = 11
6 + 7y = 11
Substract 6 from both sides:
6 - 6 + 7y = 11 - 6
7y = 5
Divide both sides by 7:
[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]
[tex]\boxed{y = \dfrac{5}{7}}[/tex]
Answer. The value of y = 5/7.Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Which ordered pairs are in the solution set of the system of linear inequalities?
y > Negative one-halfx
y < One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.
(5, –2), (3, 1), (–4, 2)
(5, –2), (3, –1), (4, –3)
(5, –2), (3, 1), (4, 2)(5, –2), (–3, 1), (4, 2)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
give me brainliest
POINTS PLZ HELP!
What is the complete factorization of 8x2 − 8x + 2?
A.
2(4x − 1)2
B.
8(x − 1)(x + 1)
C.
2(2x − 1)2
D.
2(x − 2)(x + 2)
Answer:
Step-by-step explanation:
[tex]step^ 1=>2(4x^{2} -4x+1)\\step^2=> 2(2x-1)^2[/tex]
.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.
Answer:
[tex]x=131.25[/tex]
Step-by-step explanation:
[tex]0.3x+0.65*175=0.5(x+175)[/tex]
[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)
[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)
[tex]-0.2x+113.75=87.5[/tex] (Simplify)
[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]-0.2x=-26.25[/tex] (Simplify)
[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=131.25[/tex] (Simplify)
Hope this helps!
A(n)?
is a number that is a multiple of two or more numbers.
what is 1+1?
(serious question)
Answer:
2
Step-by-step explanation:
Guys is my answer correct ?
Answer:
Yeppers Peppers. (That means yes)
Step-by-step explanation:
You did a good job on that. Good work!
Please help I am giving brainliest!
Answer:14 i think
Step-by-step explanation:
you have 2 possibilitys first one is 13 and the second one is 14 but im going to go with 14
=====================================================
Work Shown:
Draw a vertical line through point C. This vertical line crosses line segment ED to form point F. I've shown this point in blue. Refer to the diagram below.
Focus on the triangle CFD. This is a right triangle with the 90 degree angle at point F.
Triangle CFD has the vertical red portion equal to 12 units, since segment EB is 12 units (note how quadrilateral BCFE is a rectangle).
Segment FD is ED-BC = 17-10 = 7 units long.
Let's apply the pythagorean theorem to find the hypotenuse CD
a^2 + b^2 = c^2
(CF)^2 + (FD)^2 = (CD)^2
(12)^2 + (7)^2 = (CD)^2
144 + 49 = (CD)^2
193 = (CD)^2
(CD)^2 = 193
CD = sqrt(193)
CD = 13.8924439894499 approximately
CD = 14
When rounding to the nearest whole number, segment CD is approximately 14 units long.
Two rectangles are similar the sides of the larger rectangle have lengths of 24 and 30 inches the perimeter of the smaller rectangle is 27 inches find the length of the shorter side of the smaller rectangle
Answer:
small rectangle sides are 7.5 and 6
Step-by-step explanation:
Large rectangle perimeter=30+30+24+24=108
Small rectangle perimeter=27
27 is one fourth of 108 so:
small rectangle sides are 30/4 and 24/4
small rectangle sides are 7.5 and 6
Answer:
i have no clue
Step-by-step explanation:
it is really hard and i need help with it myself
Please Answer This question.
Answer:
K = 15
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine x = 1/4
Cos² x = K / 16
K =?
Next, we shall determine the 3rd leg (i.e the adjacent) of the right angle triangle. This can be obtained as follow:
Sine x = 1/4
Sine x = Opposite / Hypothenus
Opposite = 1
Hypothenus = 4
Adjacent =?
Hypo² = Opp² + Adj²
4² = 1² + Adj²
16 = 1 + Adj²
Collect like terms
16 – 1 = Adj²
15 = Adj²
Take the square root of both side.
Adj = √15
Next, we shall determine Cos² x.
Adjacent = √15
Hypothenus = 4
Cos² x =?
Cos x = Adjacent / Hypothenus
Cos x = √15 /4
Square both side
Cos² x = (√15 /4)²
Cos² x = 15 / 16
Finally, we shall determine the value of K. This can be obtained as follow:
Cos² x = K / 16
Cos² x = 15 / 16
K / 16 = 15 / 16
K = 15
The elevation of a bird was 23 m. The bird flew over to a branch to rest. It's elevation changed by -14.5 m. What is it's new elevation? Label
Answer:
8.5m
Step-by-step explanation:
The problem is as follows:
What is the perimeter of this shape?
14 3/5
12 4/5
10 2/5
10 2/5
8 1/2
4 1/2
First I changed all the denominators to 20, as that’s the LCM of all these fractions. Then I added like normal and came up with this answer:
58 71/20
Then I simplified and got
58 9/10
My test says that this is incorrect and that the whole number is actually 61 and the fractional part is actually something else. What did I do wrong when figuring out this problem? Thanks for the help.
Given f(x)=x^3-2, find the equation of the secant line passing through (-4,f(-4)) and (2,f(2))
Given:
The function is
[tex]f(x)=x^3-2[/tex]
The secant line passing through (-4,f(-4)) and (2,f(2)).
To find:
The equation of the secant line.
Solution:
We have,
[tex]f(x)=x^3-2[/tex]
At x=-4,
[tex]f(-4)=(-4)^3-2[/tex]
[tex]f(-4)=-64-2[/tex]
[tex]f(-4)=-66[/tex]
At x=2,
[tex]f(2)=(2)^3-2[/tex]
[tex]f(2)=8-2[/tex]
[tex]f(2)=6[/tex]
The secant line passes through the points (-4,-66) and (2,6). So, the equation of the secant line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-66)=\dfrac{6-(-66)}{2-(-4)}(x-(-4))[/tex]
[tex]y+66=\dfrac{6+66}{2+4}(x+4)[/tex]
[tex]y+66=\dfrac{72}{6}(x+4)[/tex]
On further simplification, we get
[tex]y+66=12(x+4)[/tex]
[tex]y+66=12x+48[/tex]
[tex]y=12x+48-66[/tex]
[tex]y=12x-18[/tex]
Therefor, the equation of the secant line is [tex]y=12x-18[/tex].
4, 20, 100, 500, what’s the next number?
4, 20, 100, 500, 2500
Answer:
2500
Step-by-step explanation:
multiply by 5 every time
Unrestrained growth of cells in a petri dish can be extremely rapid with a single cell growing into a number of cells given by the formula and parentheses T parentheses equals eight to the tea after T hours enter the formula for the number of cells in the petri dish on a culture started with 20 isolated sauce
60 POINTS + BRAINLIEST
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
Answer:
why do the delete my answer
I need this answer ASAP I will make first person to answer brainleist
Answer:
[tex]\frac{m}{3}[/tex] + 549.33
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] of the total earnings m subtracted by the lunch money and added by what they earned last week.
I need help! This is due in 30 minutes!!!
Answer:
It's supplementary
Step-by-step explanation:
They both create 180 degrees when added together because they ar both on a single line.
Answer:
Supplementary angle
Step-by-step explanation:
Two functions are defined by these equations: f(x) = 5.1 + 0.8x g(x) = 3.4 + 1.2x Which function has a greater value when x is 3.9? How much greater?
Step-by-step explanation:
Two functions are defined by these equations:
f(x) = 5.1 + 0.8x
g(x) = 3.4 + 1.2x
Put x = 3.9 in both f(x) and g(x).
f(x) = 5.1 + 0.8(3.9)
= 8.22
g(x) = 3.4 + 1.2(3.9)
= 8.08
So, f(x) is greater than g(x).
f(x)-g(x) = 8.22 - 8.08
= 0.14
So, f(x) is 0.14 units more than g(x).
how many solutions does x² – 36 = 0 have?
Answer:
2 solutions
Step-by-step explanation:
x2=36
x= positive or negative 6 so 2
if my answer helps please mark as brainliest.
Answer:
2
Step-by-step explanation:
x
2
−
36
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
1
,
b
=
0
, and
c
=
−
36
into the quadratic formula and solve for
x
.
0
±
√
0
2
−
4
⋅
(
1
⋅
−
36
)
2
⋅
1
Simplify.
x
=
±
6
The final answer is the combination of both solutions.
x
=
6
,
−
6
What is 23% over a 100
Answer:
0.0023 or 23 / 10000
Step-by-step explanation:
23% = 0.23
0.23 / 100 = 0.0023
Answer:
23
Step-by-step explanation:
anything over 100 s a percent
like 15/100 is 15%
Aliyah's school is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 14 student tickets for a total of $220. The school took in $188 on the second day by selling 11 adult tickets and 7 student tickets. What is the price each of one adult ticket and one student ticket? Write answer as an ordered pair.
Answer:
Step-by-step explanation:
a and s are the numbers of adult and student tickets, respectively.
9a + 14s = 220
11a + 7s = 188 Multiply by -2 and add to first equation.
-22a - 14s = -376
9a + 14s = 220
-----------------------
-13a = -156
a = 12
9(12) + 14s = 220
14s = 112
s = 8
Adult tickets cost $12. Student tickets cost $8.