Answer:
He invested approximately $2,215
Step-by-step explanation:
Mr Y invested $2000 in two accounts.
One pays 7%, and the other pays 5%.
At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.
Let the amount he invested be X, then
7% of X = 155
(7/100)X = 155
0.07X = 155
X = 155/0.07
= 2,215
He invested approximately $2,215
A piece of wood has a width of 5 cm and a height of 10 cm. Its volume is 100 cm? What is the length of the wood?
10,000 cm
2 cm
515 cm
50 cm
Answer:
The length of a piece of wood is 2 cm.
Given:
volume = 100 cm³
width = 5 cm
height = 10 cm
length = ?
Volume is computed by multiplying the length, width, and height of an object.
Volume = length * width * height
100 cm³ = length * 5 cm * 10 cm
100 cm³ = length * 50 cm²
100 cm³ / 50 cm² = length
2 cm = length
to check:
100 cm³ = 2 cm * 5 cm * 10 cm
100 cm³ = 10 cm² * 10 cm
100 cm³ = 100 cm³
Answer:
2 cm
Step-by-step explanation:
write out equation for volume for a Rectangular prism and plug in the numbers you have. Multiply the Width and Height and divide the volume with the product of Width X Height
What is the area of the triangle?
Answer:
9 units²
Step-by-step explanation:
Area of triangle= ½ × base × height
The base here is 3 units and the height is 6 units.
Area of traingle
= ½(3)(6)
= 9 units²
The first five terms in a pattern are shown below.
3, -3, -9, -15, -21, ...
If the pattern continues, which expression can be used to find the nth term?
Answer:
-45 because it is the nth term in the sequence just trust me.. ;) Please vote Brainliest!
Step-by-step explanation:
Answer:
The answer is -45
Step-by-step explanation:
44 pounds is equivalent to
ao
kilograms.
Answer:
19 kilograms
Step-by-step explanation:
because it is
Evaluate –9 – 13 + 2 + 13.
(look at the images) can i get help on these?
Answer:
see explanation
Step-by-step explanation:
15
JK + KL = JL , substitute values
2x + 1 + 6x = 81, that is
8x + 1 = 81 ( subtract 1 from both sides )
8x = 80 ( divide both sides by 8 )
x = 10
Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21
KL = 6x = 6 × 10 = 60
--------------------------------------------------------------
16
JK + KL = JL , substitute values
2x + x + 2 = 5x - 10 , that is
3x + 2 = 5x - 10 ( subtract 3x from both sides )
2 = 2x - 10 ( add 10 to both sides )
12 = 2x ( divide both sides by 2 )
6 = x
Thus
JK = 2X = 2 × 6 = 12
KL = x + 2 = 6 + 2 = 8
JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20
------------------------------------------------------------
17
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)
d = [tex]\sqrt{(1-7)^2+(-5-3)^2}[/tex]
= [tex]\sqrt{(-6)^2+(-8)^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex] = 10
Joseph grew 2 centimeters in 12 weeks how much is this in inches per year
Answer:
About 3.41 inches per year
Step-by-step explanation:
2 cm per 12 week
52 weeks in a year
52/12 = about 4.33
2 cm * 4.33 = about 8.67 cm
2.54 cm = 1 inch
8.67/2.54 = about 3.41 inches per year
Hope this helps!
(pls mark brainliest)
If a circle has a radius of 4 cm, what is the circumference? Enter a numerical value only.
Answer:
c≈25.13
Step-by-step explanation:
Given h(x) = 5x + 1, find h(2) HELP PLEASE
Answer:
11
Step-by-step explanation:
[tex]h(x)=5x+1\\\\h(2)=5(2)+1\\\\h(2)=10+1\\\\\boxed{h(2)=11}[/tex]
Hope this helps.
PLEASE HELP!!! TRIG, Theres a picture!!
Answer:
The answer is option CStep-by-step explanation:
[tex]3( { \tan }^{2} \theta - { \sec }^{2} \theta)[/tex]
Using trigonometric identities
That's
[tex]1 + { \tan }^{2} \theta = { \sec }^{2} \theta[/tex]
Rewrite the expression
That's
[tex]3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\ [/tex]
Simplify
We have
[tex]3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)[/tex]
So we have
3( - 1)
We have the final answer as
- 3Hope this helps you
What is an integer?
Answer:
A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)
Step-by-step explanation:
it's basically a just any number but can't be a decimal or fraction
Answer:
A set of whole numbers and their opposites.
Step-by-step explanation:
...... -4 -3 -2 - 1 0 1 2 3 4......
Express 4 tickets for $25 as a unit rate
Unit rate is the amount it costs for 1.
Divide total cost by number bought:
25/4 = 6.25
Unit price = $6.25 per ticket
PLZ HELP ASPPP I WILL MARK YOU AS BRAINLIST
If PQ=29 and QR=51 find PR.
Which expression is equivalent to 3 - 2
Choose 1 answer:
А
--3
+
-2
B
D
- 2
Answer:
-2+3
Step-by-step explanation:
Use the Symmetry of a Function to Find Coordinates f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries 4, 5, a, 7. g is an odd function b = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries b, 0, negative 3, negative 4.
Answer:a=4 b=3
Step-by-step explanation:
Tbh I just guessed and got them
The requried value of the unknowns in the function is given as a = 4 and b = 3.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
As mentioned in the question,
For even function table is given,
x ⇒ -2, 0, 2, 3
f(x) ⇒ 4 5 a 7
For even function,
f(x) = f(-x)
From table,
f(2) = f(-2) = 4
So, a = 4
For odd functions,
f(-x) = -f(x) [f(-x) ≠ f(x)]
f(-2) = -f(2)
b = 3, [f(2) = -3 from table]
Thus, the requried value of the unknowns in the tables is given as a = 4 and b = 3.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area of the rectangle? (rea=length*width)
Answer:
The area of the rectangle is increased in 76 percent.
Step-by-step explanation:
The area of a rectangle ([tex]A[/tex]) is represented by the following formula:
[tex]A = w\cdot l[/tex]
Where:
[tex]w[/tex] - Width.
[tex]l[/tex] - Length.
If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ([tex]l = 2.2\cdot l_{o}[/tex], [tex]w = 0.8\cdot w_{o}[/tex])
[tex]A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})[/tex]
[tex]A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}[/tex]
[tex]A = 1.76\cdot A_{o}[/tex]
The area of the rectangle is increased in 76 percent.
if the sales tax rate is 7.375% in new york state then how much sales tax would you pay for a $9,500 used car
I'm not really good at this
9500 x 7.375/100 = $700.625
A coast guard ship patrols an area of 125 square miles . The area the ship patrols is a square . About how long is each side of the square round to nearest mile ! PLEASE HELP
Answer:
11
Step-by-step explanation:
If it is a square, both sides will be equal. Therefore, you need to find out what number times itself equals 125. In the end, you just have to solve [tex]\sqrt{125}[/tex] which is 11.1803...When you round that number, you get 11.
2 perfect squares of 102
Step-by-step explanation:
102^2 = 10404
102×102=10404
what are the solutions to the quadratic equation?2x^2+7x+6=0
Answer:
x=-3/2,-2
using the quadratic formula 2x² is your a 7x b and 6 your c you want to substitute those numbers into the equation and then solve to find the solutions
In the figure, a pair of parallel lines is cut by a transversal. What is the measure of angle C if the measure of angle B is 35°? A. 35° B. 90° C. 145° D. 180°
Answer:
Could you please add a diagram? Or at least say how C is related to B?
Like is C an alternate angle to B or anything?
Step-by-step explanation:
A diagram would really help.
Answer:
145
Step-by-step explanation:
180-35=145
Money is borrowed at 8% simple interest. After one year, 999.00$ pays off the loan. How much was originally borrowed?
Answer:
PV= $925
Step-by-step explanation:
Giving the following information:
Money is borrowed at 8% simple interest. After one year, $999 pays off the loan.
To calculate the original value of the loan, we need to use the following formula:
PV= FV/(1+i*n)
PV= 999/(1+0.08*1)
PV= $925
If the sales tax of a state is 7.55% what is the price of a $125 pair of shoes?
Answer:
the shoes cost $134.43 with tax
Compute the exact value of the function for the given x-value. f(x) = 6x for x = 3
HELP! i’m confused! question is in the picture
Answer:
[-6,-3]
Step-by-step explanation:
So we have the compound inequality:
[tex]2x+7\leq x+4\leq 3x+16[/tex]
Let's solve for each of the inequalities:
1)
We have:
[tex]2x+7\leq x+4[/tex]
Subtract x from both sides:
[tex]x+7\leq 4[/tex]
Subtract 7 from both sides:
[tex]x\leq -3[/tex]
So that's one of our answers.
2)
We have:
[tex]x+4\leq 3x+16[/tex]
Subtract 3x from both sides:
[tex]-2x+4\leq 16[/tex]
Subtract 4 from both sides:
[tex]-2x\leq 12[/tex]
Divide both sides by -2. Since we're dividing by a negative, flip the sign:
[tex]x\geq -6[/tex]
Therefore, our entire answer is:
[tex]-6\leq x\leq -3[/tex]
This means all values in between -3 and -6 including -3 and -6.
In interval notation, this is:
[tex][-6,-3][/tex]
So, A is -6.
And B is -3.
And we're done :)
What term best describes the intersection of the strokes drawn when writing the letter T? point plane line
Answer:
Point just took the test and this is the answer.
Step-by-step explanation:
what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?
The beast, a roller coaster in Cincinnati, Ohio, is 1.4 miles long. How far would you travel in 5 rides?
Answer:
7 miles
Step-by-step explanation:
So we know that theroller coaster is 1.4 miles long for ONE ride. Since we're riding it for more times we would multiply how many miles to how many times we're riding it. So 1.4 *5 which equals 7.
Which property was used to simplify the expression? 3c + 9 + 4c = 3c + 4c + 9
Answer:
Step-by-step explanation:
subtraction
Answer:
distributive property
Step-by-step explanation:
3c+ 9 + 4c = 3c + 4c + 9 A: distributive property
What is the value of y in the equation 4y – 2(1 – y) = –44?
–23
–15
–14
–7
Answer:
-7
Step-by-step explanation:
The value of y will be -7
What is distributive property of multiplication over addition ?
If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.
The equation given is 4y-2(1-y)= -44, now solving it for the value of y using distributive property of multiplication over addition :
[tex]\begin{aligned}4y-2(1-y)&=-44\\4y-2+2y&=-44\\6y&=-42\\y&=-7 \end{aligned}[/tex]
Therefore, the value of y is -7
Read more about property of multiplication here :
https://brainly.com/question/14391436
#SPJ2