3. A student gets a grant of $10 000 a year. Assuming her grant is increased by 7% each year, what will her grant be in four years time?
Answers
Answer:
that's all~~~~~~~~~~~~~~~~~~
Related Questions
Find the area of the triangle. Round your answer to the nearest tenth.
B
37 cm
410
А
37 cm
с
a. 449.1 cm2
b. 684.5 cm
C. 898.1 cm2
d. 595 cm
Answers
The answer would be A. 449.1 cm2.
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side LM. Round your answer to the nearest tenth if necessary.
Answers
Answer:
LM = 24.3
Step-by-step explanation:
In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.
Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as
LK / HG = LM / IH
34/7 = LM / 5
Multiply both sides by 5
34*5/7 = LM
LM ≈ 24.2857
Rounding to the nearest tenth, LM = 24.3
Answer:
24.3
Step-by-step explanation:
what is the result of convetting 35 ounces into pounds?
Answers
Answer:
35 oz = 2.1875 lb
Step-by-step explanation:
There are 16 ounces in a pound.
35/16 = 2.1875
35 oz = 2.1875 lb.
Hope this helps.
Joseph and Mark have $230. Joseph and Kevin have $130. Mark had 3 times as much money as Kelvin. How much money does Kelvin have?
Answers
Answer:
Step-by-step explanation:
Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is
J + M = 230. The second equation is
J + K = 130. The third equation is
M = 3K. Sub that 3K into the first equation and get
J + 3K = 230. Now take th second equation and solve it for J:
J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:
130 - K + 3K = 230 and
2K = 100 so
K = 50
Kevin has $50
Jodi has two bank accounts. Her parents started Account A for her. It currently has $100 in it, and Jodi deposits $20 into it each month. Jodi's grandparents started Account B for her. It currently has $300 in it, and her grandparents deposit $40 into it each month.
Answers
Answer:
(f+g)(x) = 60x + 400
Step-by-step explanation:
Given :
Amount in account A:
f(x) = 20x + 100
Amount in account B :
g(x) = 40x + 300
Total amount in Account A and B:
f(x) + g(x) = (20x + 100) + (40x + 300)
(f+g)(x) = (20x + 40x) + (100 + 300)
(f+g)(x) = 60x + 400
)) A farmer placed an order for 16 2/3 tons of fertilizer. He calculates that the corn fields
will require 8 5/6 tons of it. How much fertilizer will the farmer have left for his other crops?
Answers
Answer:
7 5/6
Step-by-step explanation:
16 2/3 - 8 5/6
16 4/6- 8 5/6
7 5/6
WILL GIVE BRAINLIEST AND 20 POINTS!
Find the equation of the line which passes through the point (11,8) and is parallel to the given line. Express your answer in slope-intercept form. Simplify your answer.
6x+8y=15
Answers
hope that helps
Step By Step Explanation:
y = - 3/4× + 15/8Step 1Swap sides so that all variable terms are on the left hand side.[tex] - \frac{3}{4} x + \frac{15}{8} = y[/tex]Step 2Subtract [tex]\frac{15}{8}[/tex] from both sides.[tex] - \frac{3}{4} \times = y - \frac{15}{8} [/tex]Step 3Divide both sides of the equation by -[tex]\frac{3}{4}[/tex] which is the same as multiplying both sides by the reciprocal of the fraction.[tex] \frac{ - \frac{3}{4} \times}{- \frac{3}{4} } = \frac{y - \frac{15}{8} }{ - \frac{3}{4} } [/tex]Step 4Dividing by [tex]-\frac{3}{4}[/tex] undoes the multiplication by [tex]-\frac{2}{4}[/tex][tex]x = \frac{y - \frac{15}{8} }{ - \frac{3}{4} } [/tex]Step 5Divide [tex]y-\frac{15}{8}[/tex] by -\frac{3}{4} by multiplying [tex]y-\frac{15}{8}[/tex] by the reciprocal of [tex]-\frac{3}{4}[/tex][tex]\color{Green}x = \frac{ - 4y}{3} + \frac{5}{2} [/tex]The sum of squares of two
numbers is 80 and the square of
difference between the two numbers
is 36. Find the product of two
numbers .
Answers
Answer:
the product of the 2 numbers is 22
Step-by-step explanation:
x² + y² = 80
(x - y)² = 36
=>
x - y = 6
or y - x = 6
let's start with the first one x-y=6
x = 6 + y
=>
(6+y)² + y² = 80
y² + 6y +6y + 36 + y² = 80
2y² + 12y + 36 = 80
2y² + 12y - 44 = 0
y² + 6y - 22 = 0
the solution of a quadratic equation
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here we have an squadron in y.
a=1
b=6
c=-22
(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =
= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =
= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)
y1 = -3 + sqrt(31)
y2 = -3 - sqrt(31)
=>
x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)
x2 = 3 - sqrt(31)
control :
(-3 + sqrt(31))² + (3 + sqrt(31))² = 80
9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80
9 + 31 + 9 +31 = 80
18 + 62 = 80
80 = 80 correct
solving now for y-x=6
delivers exactly the same calculations, just with x and y trading places.
so, the resulting 2 number pairs are the same.
the product of the 2 numbers :
(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =
= -9 + 31 = 22
(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =
= 22
so, the product is the same in both cases.
Put these numbers in order from least to greatest.
1/8,1/2,0.13, and 7/8
Answers
Answer: 1/8, 0.13, 1/2, 7/8
Step-by-step explanation: Mental Math
Step-by-step explanation:
0.13,1/2,1/8,and 7/8
hope it is helpful to you
What’s the equation of the blue line?
Answers
Answer:
Step-by-step explanation:
The equation of blue line A is x = 1.
That of blue line B is y = 4.
Where is Point B on the number line
Answers
Answer:
the answer is the second option
Step-by-step explanation:
it is
Help pls 20 pts math
Answers
Answer:
point a
Step-by-step explanation:
start from the axis go up 3 to the left one and point a is five units below point g
Answer:
Point B is 5 units from point G.
Step-by-step explanation:
The ordered pair (3,-1) is 4 units down from point D.
And point B is 5 units to the left of point G.
25=125^k find the value of k
Answers
Answer:
2/3
Step-by-step explanation:
25=125^k
5^2=5^3k
2=3k
k=2/3
The value of k is k = 2/3.
What is an exponent?The number of times a number is multiplied by itself is referred to as an exponent.
Given that, [tex]25 = 125^k[/tex].
Follow the steps to find the value of k:
[tex]25 = 125^k\\\\5^2=(5^3)^k\\\\5^2=5^{3k}[/tex]
Since the base of the exponents is the same, it follows:
2 = 3k
k = 2/3
Hence, the value of k is k = 2/3.
Learn more about exponents here:
https://brainly.com/question/5497425
#SPJ2
Find the value of x in The parallelogram.
Answers
Answer:
11
Step-by-step explanation:
those alternate angles are equal to each other
5x+4=59
5x=55
x=11
Answer:
(5x + 4) = 59
5x = 59 - 4
5x = 55
x = 55/5
x = 11
Help me on this pls!!!!!!
Answers
Step-by-step explanation:
bla bla bla bla123222222333333
if f( x )3 X + 4 and g(x)= X + 1 find the value of x given that F - 1g( x) = 2
Answers
Answer:
The answer for the question is -1.5
Which formula gives the coordinates of the midpoint of the segment connecting points (u, v) and (s, 6,t),
Answers
Answer:
[tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option)
Step-by-step explanation:
The midpoint of a segment connecting two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] can be described by the following formula: [tex]\frac{x_1 + x_2}{2} = x_{mid}[/tex] and [tex]\frac{y_1 + y_2}{2} = y_{mid}[/tex]. As you can see, the formula essentially takes the average of the x- and y-coordinates to find the point in the middle.
With points (u, v) and (s, t), the midpoint becomes [tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option).
Given that X = - 2 and y = 4 , Evaluate the expression. 5y – 4x
Answers
Answer: 28
Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.
In the given figure alongside,prove that
Triangle ABC is simalar to Triangle SRT
Find the length of AC
Answers
Answer:
let's use Pythagoras theorem,
h²=b²+l²
so,
ad²=ac²+dc²
6²=ac²+3²
36-9=ac²=27
√27 can be written as 3√3,
hence ac= 3√3
NEED HELLPPPPP !!!!
Answers
Answer:
x = 14
Step-by-step explanation:
Triagle GIA and Triangle GNT are congruent.
1. Find the value of x, rounded to the nearest tenth
A. 3.7
B. 4.4
C. 8.9
D. 4.2
Answers
Answer:
C 8.9
Step-by-step explanation:
all these lines (from the same point of origin, cutting into and through a circle, ending at the far end of the circle they are cutting into) have the same relation of their lengths :
a×(a+b) is the same for all these lines.
with a being the first segment from the point of origin to touching the outside of the circle, and b being the length of the line inside the circle.
so,
4×(4+16) = 8×(8+2) = 80
this is correct for these two lines.
now, the line with the length x is a special case, as it does not really go through a circle, it only touches them.
but the length relation applies also to this line. it is just that the length inside the circle is 0.
so,
x×(x+0) = 80 (the same value as for the other lines)
must be true here too.
=>
x² = 80
x = sqrt(80) ≈ 8.9
A side of the triangle below has been extended to form an exterior angle of 129°. Find the value of x.
Answers
129° + x = 180°. [Linear pair]
=> x = 180° - 129°
=> x = 51°
Find angle C!!!!! See the image below! I need this answer fast
Answers
Answer:
55
Angle C is a inscribed angle of the of Arc Ba.
CA is the diameter so that means Arc BA equal 110 becuase
110+70=180.
Angle C is half of Arc BA so Angle C is
[tex]55[/tex]
Find the value of x in the isosceles triangle shown below.
Answers
x²=4
x=sqrt(4)
x=2
Hope this helps!!
If k = 23 and m
-14, what is ✓k + m?
Submit
Answers
Answer:
3
Step-by-step explanation:
Evaluate:
Sqrt of k = 32 + m = -14
Sqrt of 32-14 = 9
Sqrt of 9 = 3
Therefore, our answer is 3!
Btw sqrt means: square root
Hope this helps! Have a good day!
If (a,3) is the point lying on the graph of the equation 5x + 2y = -4, Then find a.
Answers
Answer:
I've attached the Answer
Answer:
a = - 2
Step-by-step explanation:
Given x = a, y = 3 lies on the equation. That is the values satisfies the equation when substituted.
Find a :
Equation : 5x + 2y = - 4
5 ( a ) + 2 ( 3) = - 4
5a + 6 = - 4
5a + 6 - 6 = - 4 - 6 [ subtracting both sides by 6 ]
5a + 0 = - 10
5a = - 10
a = - 2 [ dividing both sides by 5]
[ fact check : If (-2 , 3 ) lies on the equation : 5x + 2y = - 4
5(-2) + 2( 3 ) = - 4
- 10 + 6 = - 4
- 4 = - 4 ]
Find the slope of the line containing the points (2,7) and (-5, -4).
Answers
Answer:
5
Step-by-step explanation:
Please help I don’t know how to do this
Answers
Step-by-step explanation:
I cannot see all the answer options.
square garden, side length x.
area = x² (or x×x)
new area r = (x-p)(x+q) = x² - px + qx - pq =
= x² + (q - p)x - pq
3D printer. costs p in general.
makes x figurines.
material per figurine costs q.
costs per figurine r = q + p/x
as the printer costs themselves need to be distributed equally across all produced figurines.
investment account. q% pretty year.
p dollars starting balance.
letting it sit for x years.
a0 = p
a1 = a0 + a0×q/100 = a0 × (1 + q/100)
a2 = a1 + a1×q/100 = a1×(1 + q/100) = a0×(1 + q/100)²
a3 = a2 + a2×q/100 = a2×(1 + q/100) = a0×(1 + q/100)³
...
ax = a0×(1 + q/100) to the power of x =
= p × (1 + q/100) to the power of x
account without interest. p dollars are already in it.
adding q dollars every month for x months.
balance after these x months
r = x×q + p = q×x + p
plz answer fast i need the answers thank u
Answers
Answer:
Step-by-step explanation:
(-5 , 2) here -5 is x coordinate and 2 is y coordinate since x coordinate is negative and y coordinate is positive it lies in II quadrant.
(2 , -5) here 2 is x coordinate whereas -5 is y coordinate and siince x coordiante is positive and y coordinate is negative it lies in IV quadrant.
(x^3 - 2)(x^2 + 11)
to find the degree of polynomial first u need to factor this out
x^3(x^2 + 11) -2(x^2 + 11)
x^3 * x^2 + x^3 * 11 - 2 * x^2 - 2 * 11
x^3+2 + 11x^3 - 2x^2 - 22
x^5 + 11x^3 - 2x^2 - 22
since the highest degree is 5 the degree of the polynomial is also 5.
Step-by-step explanation:
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
FIRST ANSWER GETS BRAINLIEST !!!!
16.
What is the solution of the equation 56 = 2.8y ?
a. y = 156.8
b. y = 58.8
c. y = 2
d. y = 20
Answers
Answer:
When you solve for y, you get y = 20.
Step-by-step explanation:
You isolate the variable by dividing each side of the equation by the number with the variable, therefore getting 20.
[tex]\longrightarrow{\green{d.\:y\:=\:20}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➝[tex]\:56 = 2.8y[/tex]
➝[tex]\:y = \frac{56}{2.8} [/tex]
➝[tex]\:y = 20[/tex]
Therefore, the value of [tex]y[/tex] is 20.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
➝[tex]\:56 = 2.8y[/tex]
➝[tex]\:56 = 2.8 \times 20[/tex]
➝[tex]\:56 = 56[/tex]
➝[tex]\:L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
