Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
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f(x) = 2(x + 3)^2 – 6
Find the standard form and the y intercept. Please
Answer:
f(x) = 2x² + 12x + 12; y-intercept is 12
Step-by-step explanation:
f(x) = 2(x + 3)² - 6
This equation is in point slope form. We want to put it in standard form.
According to PEMDAS (parentheses/exponents | multiplication/division | addition/ subtraction), we should solve the exponent first. (the expression in the parentheses is as simplified as possible).
(x + 3)² → (x +3)(x + 3)
To solve this, we need to FOIL (first | outer | inner | last)
F: x²
O: 3x
I: 3x
L: 9
Combine these terms.
x² + 3x + 3x + 9
x² + 6x + 9
Plug this expression back into your original equation.
f(x) = 2(x + 3)² – 6 → f(x) = 2(x² + 6x + 9) - 6
Next, we will distribute the 2 across the parentheses.
f(x) = 2x² + 12x + 18 - 6
Then, combine like terms. (18 & 6)
f(x) = 2x² + 12x + 12
This is your equation in standard form.
Now we want to find the y-intercept. The y-intercept is the y-value when x = 0. Therefore, we need to plug in x = 0 to the equation.
f(x) = 2x² + 12x + 12
f(x) = 2(0)² + 12(0) + 12
Follow PEMDAS again.
[exponents] → f(x) = 2(0) + 12(0) + 12
[multiplication] → f(x) = 0 + 0 + 12
[addition] → f(x) = 12
Your y-intercept is 12.
Hope this helps!
f(x) = 3x + 8
fl-1) = ?
Quadrilateral GHIJ is a square. What is the measure of angle FGJ?
Answer:
its symetrical i think
Step-by-step explanation:
Answer: itis a triangle
Step-by-step explanation:
1_Escribe cómo se lee los siguientes números.
789.406=
973.002=
1003.576=
3.322.010=
Answer:
setesientos ochenta y nueve mil cuatrosientos seis
novecintos setenta y Tres mil dos
un millon Tres mil quinientos setenta y seis
tres millones tresientos veintidos mil diez
:)
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic books is 4 more than the number of $0.75 comic books. Find the number of each type in the pack.
Answer:
The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the unknowns or unknown variables are:
x: number of $ 0.45 comic books
y: number of $ 0.75 comic books
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. Then the equation that represents this situation is:
x*0.45 + y*0.75= 9
On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books. Then the equation that represents this situation is:
x+4=y
The system of equations to solve is:
[tex]\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.[/tex]
One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.
In this case we directly replace the expression of the variable and of the second equation in the first:
x*0.45 + (x+4)*0.75= 9
Solving:
x*0.45 + 0.75*x + 4*0.75= 9
1.2*x + 3=9
1.2*x= 9-3
1.2*x= 6
x= 6÷ 1.2
x=5
Replacing this value in the expression x+4=y you get:
5 +4=y
9=y
The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books
Which of the following will NOT make a triangle? *
5 inches, 5 inches, 5 inches
4 inches, 4 inches, 3 inches
16 cm, 17cm, 18cm
4 cm, 12 cm, 25 cm
16mc, 17cm, 18cm. because they are big numbers it will probbably go over
Hello I'm Chloe Can you Help me, Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
i need help with the last questions I posted
PLSSSSS HELPPP
Question : If you are given the decimal division problem 7.89 ÷ 3 and find that the answer is 2.63, how can you use multiplication to check that your answer is correct? (What numbers would you have to multiply together?)
A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.
Answer:
300 bags of dog food
Step-by-step explanation:
4b + 2b + b + b = 600
(dog) + (cat) + (bird) + (hamster) = 600
8b = 600
b = 75
Byron purchased 75 bags of bird food. He needs 4 times that of dog food. So, he purchased 300 bags of dog food.
Multiply. Enter the product in simplest form.
uIN
=
9/10 multiplied 2/5
Answer:
When multiplying fractions, multiply the top number by the top number, and the bottom number by the bottom number.
So we have: (9x2)/(10x5).
This simplifies to: 18/50, or 9/25.
Let me know if this helps!
workout 4 1/7 + 1 1/2
Answer:
Take 2 1/7 - first multiply the denominator by the whole number to give 14 and now add the numerator to this number to get 15 - the fraction in improper form is 15/7. Do the same process with 1 1/4 - so 4 x 1 = 4 and now 4 + 1 = 5 - the new fraction is 5/4.
Step-by-step explanation:
Sum of given fraction is [tex]5\frac{9}{14}[/tex]
Given fraction;
[tex]4\frac{1}{7} + 1\frac{1}{2}[/tex]
Find:
Sum of given fraction
Computation:
[tex]4\frac{1}{7} + 1\frac{1}{2}\\[/tex]
Simplify given mixed fraction into simple fraction
[tex]\frac{29}{7} + \frac{3}{2}[/tex]
By taking LCM of Denominators
[tex]\frac{58 + 21}{14}[/tex]
[tex]\frac{79}{14}[/tex]
Change simple fraction into mixed fraction
[tex]5\frac{9}{14}[/tex]
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While shopping at Best Buy, you find the brand new laptop you have been wanting. The laptop originally costs $189.99 but is marked for 25% off. Find the discount amount and the new purchase price of the laptop before taxes.
Answer:
$142.49
Step-by-step explanation:
1. 25% = 0.25
2. 189.99 × .25 = 47.4975
3. 189.99 - 47.4975 = 142.4925
4. $142.49
PLEASE HELP WITH MY MATH ON MY PAGE/ACCOUNT
Answer:
what you need help with
Step-by-step explanation:
What is the slope that is parallel to -2x + 7y = 12?
Answer:
I love math anyways
The ans is in the picture with the steps how i got it
(hope it helps i plz have brainlist :D hehe)
step-by-step explanation:
The equation needs to be fully factored and I need some help
Answer:
4y^2(y+4)(y-4)
Step-by-step explanation:
Answer:
[tex]4y^2(y+4)(y-4)[/tex]
Step-by-step explanation:
Factor [tex]4y^2[/tex] out of the equation
[tex]4y^2(y^2-16)[/tex]
Rewrite 16 as [tex]4^2[/tex]
Factor.
[tex]4y^2(y+4)(y-4)[/tex]
hope this helps :)
HELLLLP MEH, WILL MARK BRAINLIEST, NEED ALL Q'S ANSWERED
Answer:
1. is 4
2. is 3
3. is 10
4. is 13
Step-by-step explanation:
Hope this helpss!!
Which function is f(5) for the function -2x^2+2x-3
A: -107
B: -63
C: -43
D: -37
Answer:
The answer is C.
Step-by-step explanation:
A quantity with an initial value of 380 decays exponentially at a rate of 1% every 4 hours. What is the value of the quantity after 174 minutes,
Answer:
377.24
Step-by-step explanation:
Zara bought 150 pairs of shoes
for $6000 , She sold 100 of them
for $50 each and the remaining 50 for $55 each - How much profit
did she make altogether
required profit=$1750
cp=$6000
sp1=100×$50=$5000
sp of remaining sp2={150-100}×$55=50×55=$2750
profit={sp1+sp2}-cp=$5000+$2750-$6000=$1750
(I’ll give brainliest) Jack designed a bridge that would be 0.2 miles long and 3/5 of the bridge has been built. How long is the section of the bridge that is finished? Show how you know.
Answer: 0.12
Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or
3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2
Zena wants to paint a rectangle on a wall to serve as the background for a mural. She has enough paint to cover 38.25 square feet of wall space. If the width of the rectangle is 4.5 feet, what is its maximum length? a 33.75 ft b 8.5 ft c 38.25 ft d 4.5 ft
Answer:
8.5 feet.
Step-by-step explanation:
it is 38.25 / 4.5
Answer:
8.5
Step-by-step explanation:
Cara monitors a snail in her aquarium. She notes that this morning it crawled 1 inch up the glass. A few hours later it crawled another 2 inches up the glass. Later it crawled 4 inches down the glass. How far is the snail from where it started?
In a student election, Derrick got 10% of the votes. If Derrick got 5 votes, how many total students voted?
Answer:
50 students voted
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
If 50 students voted, or 1/10th of students voted for him, than you can multiply 5 by 10 to get your answer, which equals 50.
Can someone please help me with this
Answer:
I would say 7, because if you think about you would know that your answer is 7
what are two fractions that equal -7/10?
Answer:
-14/20
-21/30
Step-by-step explanation:
-7/10
-7x2=-14 and -10x2=-20
-14/20
-7/10
-7x3=-21 and -10x3= -30
-21/30
Is there anybody here good at medical terminology??? pls I need help on one of my questions.
Answer:
I could try.
Step-by-step explanation:
the product of 3 and 12
An expression is .
Answer:
36
Step-by-step explanation:
Answer:
do gk his to him hif to ycj be ljpidtzu
Step-by-step explanation:
Visit us at our website at the time of year again in the United Arab Republic and the best in the United States is the youngest daughter is in no uncertain future of our most important your own badge showing photos in. The time to get aoajjwhsja
I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!
The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?
Answer:
Each burrito meal cost 8$
Each taco meal cost 6$
Step-by-step explanation:
Johnsons= 3b +4t =48
Sloans= 6b+2t=60
multiple johnsons by -2
so, now the johnsons are -6b+-8t=-96
add that to the sloans so, -6b+6b-8t+2t=-96+60
the b's cancel eachother out, so you are left with -6t= -36
divide each side by -6 and you will get t=6
then you can pick either formula, lets say sloans this time
so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48
so 6b=48, divde each side by 6 and you will get b=8
Step-by-step explanation:
Answer:
Tacos-6
Burritos-8
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(3b+4t=48)
1(6b+2t=60)
Becomes:
−6b−8t=−96
6b+2t=60
Add these equations to eliminate b:
−6t=−36
Then solve−6t=−36for t:
−6t=−36
−6t
−6
=
−36
−6
(Divide both sides by -6)
t=6
Now that we've found t let's plug it back in to solve for b.
Write down an original equation:
3b+4t=48
Substitute6fortin3b+4t=48:
3b+(4)(6)=48
3b+24=48(Simplify both sides of the equation)
3b+24+−24=48+−24(Add -24 to both sides)
3b=24
3b
3
=
24
3
(Divide both sides by 3)
b=8
Answer:
b=8 and t=6
Plsssssssssssssss help
Answer:
B
Step-by-step explanation: