The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
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A cube has six sides that are numbered 1 to 6. The sides numbered 1, 3, and 5 are yellow, and the sides numbered 2, 4,
and 6 are orange. What is the probability of rolling the cube and getting a yellow and even number?
Explanation:
The yellow sides are 1,3,5 which are odd numbers. So it's impossible to get an even number that's a yellow side. That's why 0 is the answer here. A probability of zero represents cases when the event can never happen.
gradient from 2 - 1/2y = 0
Given :
2 - 1/2y = 0To find :-
The gradient form .Solution :-
The gradient form/ slope intercept form
y = mx + c ,On converting ,
2 - 1/2y = 0 1/2y = 2 y = 2*2y = 4y = 0x + 4Verify in the following whether g(x) is a factor of p(x)
(i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1
[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]
Given that,
[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]
and
[tex]\rm \longmapsto\:g(x) = x - 2[/tex]
We know,
Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.
So, using Factor theorem, Consider
[tex]\rm \longmapsto\:p(2)[/tex]
[tex]\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]
[tex]\rm \: = \: 16 - 8 - 4 - 4[/tex]
[tex]\rm \: = \: 16 - (8 + 4 + 4)[/tex]
[tex]\rm \: = \: 16 - 16[/tex]
[tex]\rm \: = \: 0[/tex]
[tex]\rm\implies \:p(2) \: = \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]
[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]
[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]
and
[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]
Now, By using Factor Theorem, Consider
[tex]\rm \longmapsto\:p( - 1)[/tex]
[tex]\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]
[tex]\rm \: = \: - 2 + 1 + 2 + 1[/tex]
[tex]\rm \: = \: 2[/tex]
[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]
PLS HELP ME ASAP
NO LINKS
1.What is the probability of rolling an odd number on a 6 sided die
2.Eric and 3 friends took turns riding the Beast with each other at Kings Island. If they rode with all others exactly once, how many times did they ride it?
3. What is the area of a circle with a radius of 4mm? Use 3.14 for pi.
4. Find the median of the following data set.
6.2, -5.9, 2.4, 1.8, 8.7
5. What is the slope from (-1,2) to (2,-2)?
6. How many different ways can you write the letters a, b and c in order from left to right?
Answer:
1. 3/6 or 3 out of 6
2. 6 times
3. 50.24mm²
4. 2.4
5. -4/3
6. 6 i think, but i'm not positive on this one
have a wonderful day :)
65 people paid $5 to go in a haunted house. They all went in, someone took their time to see the decorations and special effects. After 14 minutes half of them were outside waiting for the rest to finish. How many people are still inside? (HELP ME PLS AND I WILL PUT 5 STARS :)
Step-by-step explanation:
here's your answer
enjoy
Answer: 32.5
Step-by-step explanation: 65 divided by 2 ( 2 x 3 = 6 bring down the 5 so 2x2 = 4. Your remainder is 1 bit you can’t leave it like that so you add a extra zero put your decimal point so 32. (2x5 = 10 (remainder 0)
The depth of water in a reservoir increases from 14m to 15.75m. Work out the percentage increase.
Answer:
It was a 12.5% water gain
is my answer correct ??
pls check!!!
asap!
math geniuses!!
Answer:
(b) part is answer.
may it will help you.
Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents
Answer:
5 inches
Step-by-step explanation:
60÷12=5 cents ( 1 inches of wire )
25÷5=5 inches
58ml : 1120ml : 104ml need answer asap!
Answer:
i dont know the answer sorry
Step-by-step explanation:
Allison is going to the post office to buy 34cent stamps and 3 cent adjustment stamps. Since the current postage rate is 49 cent she will need 5 times as many 3 cent adjusment stamps as 34 cent stamps. If she has $12.25 to spend, what is the largest number of 34 cent stamps she can buy?
Determine the largest number of 34 cent stamps she can buy
The largest number of 34 cent stamps she can buy is 30
Given:
Total money = $12.25
let
x = 34 cent stamp
y = 3 cent stamp
34 cent stamp = 5 × 3 cent stamp
x + y = 0.49
x = 5y
0.34x + 0.3y = 12.25
0.35(5y) + 0.3y = 12.25
1.75y + 0.3y = 12.25
2.05y = 12.25
y = 12.25/2.05
y = 5.9756097560975
approximately, y = 6
Recall,
x = 5y
x = 5(6)
x = 30
Therefore, the largest number of 34 cent stamps she can buy is 30
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The Tiger football team won 2 out of every 3 games they played. If they played 9 games, how many games did they lose?
A.
3
B.
4
C.
6
D.
18
you'll get marked brainliest if you answer first
Answer:
3
Step-by-step explanation:
2 out of 3. 3x3=9, 2x3=6. 9-6=3
For the function f(x)=5(x+10), find
f −1(x).
Answer: f-1(x) = x/5 - 10
Shortend: f(x)=5(x+10), f-1(x) = x/5 - 10
Steps:
The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.
[tex]f(x)=5x+10\\y=5x+10\\x=5y+10\\x-10=5y\\\frac{x-10}{5} =y\\[/tex]
So, [tex]f^{-1} (x)=\frac{x-10}{5}[/tex]
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions
Answer:
$34,000
Step-by-step explanation:
Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:
8*1,750 = $14,000
Together with the deposited money:
$20,000 + $14,000 = $34,000
By the end of year 8 there will be $34,000 of Jerry's account.
not sure how to do this, could use some help. : )
Answer:
The GCF equal;
[tex] {x}^{3} y {z}^{2} [/tex]
I hope I helped you^_^
i need help please thank you
Answer:
b = 12
Step-by-step explanation:
hi! so this looks like a right triangle because it has a right angle which is 90 degrees! that means we can use the Pythagorean theorem to solve for the missing leg.
The Pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]
a and b will be the two shorter legs, so it does not matter which of the two legs are which! in this problem, 5 and b (the missing leg) are the two shorter legs! c is always the hypotenuse, which is the sloped-looking line. in this problem, 13 is the hypotenuse! this line is the longest side on every right triangle!Let's solve for the missing leg now!
1) first, we need to plug in the missing numbers into the equation
[tex]5^{2} + b^{2} = 13^{2}[/tex]
2) next, let's simplify the problem
[tex]25 + b^{2} = 169[/tex]
3) now, let's isolate the variable, b
[tex]b^{2} = 144[/tex]
4) finally, we have to take the square root of b so it will be b not [tex]b^{2}[/tex]
b = 12
Let's plug in our answer to the equation to check if it is correct!
[tex]5^{2} + 12^{2} = 13^{2}[/tex]
25 + 144 = 169
169 = 169 hooray!
you do not have to do all of this work if you memorize the Pythagorean triples!
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) , (9, 40, 41)these are automatic matches! for example: [tex]3^{2} + 4^{2} = 5^{2} --> 9 + 16 = 25 --> 25 = 25[/tex]comment or message if you have any questions :)
Please can someone help me
Answer:
x = 19 and
y = 3
Step-by-step explanation:
40 + 8sqrt(x) - 5sqrt(x) - (sqrt x)^2 = y(sqrt x) + 21
40 + 3sqrt(x) - x = y (sqrt x) + 21
3sqrt(x) = y (sqrt x)
y = 3
40 - x = 21
40 - 21 = x
x = 10
A student from last year got an answer of 36 when asked to simplify the expression below. Identify the student’s mistake? Then solve it correctly.
`2+10\ \times\ 3`
I Will brainlist who can answer this question please!!!
PLEASE HELP DUE IN 30 MINUTES!!!
Shai has to bake a cake for a bake sale. The recipe calls for a quart of sugar. How many cups of sugar will Shai need?
A) 1.25 cups
B) 0.75 cups
C) 1.75 cups
D) 0.25 cups
Answer:
D
Step-by-step explanation: a cup is 4 quarts
Answer my question
Please I need it right away
Answer:
the mean of the data is 13, so the result is given by the sum of all data (11+12+13+14+15) and divided by 5
Can someone please help me with this??
———————————————
What is the length of the hypotenuse (c)?
4
Or
6
Answer:
6
Step-by-step explanation:
The hypotenuse is the side opposite the right angle.
The side opposite the right angle is 6 m long
What is the coefficient of the term of degree 4 in the polynomial?
6x3 + 2x - 5x3 + x²
the coefficient of term 4 is 2
I NEED HELP ASAP WILL GIVE BRAINLIEST FOR ALL 3
2) i don't know answer for 2, but i know that it isn't right triangle because from Pythagoras' Theory we know that for right triangle: a^2 + b^2 = c^2 but in this triangle 30^2 + 38^2 ≠ 54^2
3) from Pythagoras' theory we know that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides: a^2 + b^2 = c^2
we have to check this in this triangle:
12^2 + 16^2 = 400
√400 = 20
we know that third side of this triangle is 20 so this triangle is right triangle
3) in square all sides are same so If a is the one side of the square then area of this square will be a x a = 242
a^2 = 242
so from Pythagoras' theorem we can found the diagonal:
a^2 + a^2 = c^2 ( c is hypothenuse)
242 + 242 = c^2
484 = c^2
c = 22
hope it's correct and it'll help you :)
3) Determne the largest multiple of 9 less than 200
Answer:
i think 22
Step-by-step explanation:
9*22=198
A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.
Step-by-step explanation:
Multiply both sides by 2/(b1 + b2) to isolate h and get
h = [2/(b1 + b2)] A = 2A/(b1 + b2)
9. Jerry's bedroom is square. He has a square desk that has an area of 1000 cm2. The area
of the bedroom is 16 times as large as the area of the desk. What is the side length of the
bedroom?
Answer: 126.49 cm [A VERY small bedroom]
Step-by-step explanation:
The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.
For reference, 126.49cm is 4.14 feet.
Donna bought 4 bags of dog treats for $10.72. What is the cost per bag of dog treats?
Answer:
2.68
Step-by-step explanation:
Answer: The bags cost about $2.68 each
Step-by-step explanation: All I did was simple Division: ($10.72 ÷ 4 = $2.68) If you need to double check to see if this is accurate, you can do ($2.68 x 4= 10.72) Therefore, this equation has an accurate answer.~
Hope this helps, have a great day/night!
~IFoundJiminsLostJams~
5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?
Answer:
5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020
Step-by-step explanation:
504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens
(504,006,020)
4 x cube + 20 X square + 33 X + 18 divided by X + 2
find remainder and quotient
A company sets sales goals for employees each month.
At her current pace, how many items will Kristina sell in 28 days? Is she on track to meet the goal? Explain.
b. At his current pace, how many dollars worth of product will Jim sell in 28 days? Is he on track to meet the goal? Explain.
Answer:
A. Kristina will sell 294 items in 28 days if she stays on her current pace.
B. She is not on track to meet the goal.
Step-by-step explanation:
By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.