Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Find all the zeroes of g(x)=4x^4+4x^3-11x^2-12x-3
Answer:
The zeroes of [tex]g(x)=4x^4+4x^3-11x^2-12x-3[/tex] are [tex]-\sqrt{3}, -\frac{1}{2}, \sqrt{3}[/tex], or approximately [tex]-1.732, -0.500, 1.732[/tex].
Step-by-step explanation:
Graphical calculator way (probably intended)By inputting the function in a graphical calculator we can see that the roots of the graph of [tex]g[/tex] are about [tex]x=-1.732, x = 0.500, x = 1.732[/tex] (make sure you click on the points of interests).
Algebraic way (probably not intended because of obscure factoring)Notice that [tex]g(x) = 4x^4+4x^3-11x^2-12x-3 = (2x-1)^2(x^2-3).[/tex] So the roots can be calculated with [tex](2x-1)^2 = 0 \vee x^2 - 3 = 0[/tex], yielding [tex]x = -\frac{1}{2} \vee x = \pm\sqrt{3}[/tex].
JOEY
Hoey
Boey
Goey
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Answer:
jayfeather in the house
Step-by-step explanation:
Answer:
zoey :)
Step-by-step explanation:
Solve the system of equations by substitution.
3x + 4y - 12
x + 7y = 8
Step-by-step explanation:
[tex]3x + 4y = 12 \\ x + 7y = 8 \\ x = 8 - 7y \\ 3(8 - 7y) + 4y = 12 \\ 24 - 21y + 4y = 12 \\ 12 = 17y \\ y = 0.705 \\ x = 8 - 7(0.705) = 3.065 = 3.07[/tex]
A student borrows $10,000 to pay for college at a 3.5% annual interest. What is the equation that will model how much the student owes, P, after some number of years, t ?
P = ______(___)^t
How much money will the student owe after 8 years of not paying anything on the loan?
Answer: I got 2857.14
Step-by-step explanation:
Answer:
the first guy was write i checked
Someone please help and makes sure the answer is right please !!!!!!!
Answer:
D = 36
Step-by-step explanation:
73 + 35 = 108. 108 / 3 = 36. Brainliest pls
What is an equation of the line that contains the point (0, -5) and a slope of 1/4
Answer:
y=1/4x-5
Step-by-step explanation:
Answer:
y = 1/4x - 5
Step-by-step explanation:
y = mx + b is the equation of a straight line.
m = slope, b = y intercept. (y intercept is the point where the line of the graph crosses the y axis)
(0, -5) is the y intercept (if you were to graph this point, it would be on the y axis, fitting the previous description)
the slope is 1/4
replace each variable in the equation, and you get:
y = 1/4x - 5
help lol, show wurk cuz u know how teachers are these days
Answer:
Infinitely many solutions (the lines are identical)
Step-by-step explanation:
Let's start by getting each equation into slope intercept form (y=mx+b)
-14x-14y=28
-14x-28=14y
-x-2=y
and
7x+7y= -14
7x+14= -7y
-x-2=y
We can see that these two lines are identical which means that there are an infinite amount of answers
About 16 weeks ago, there were 59 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 8 weeks.
The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled.
How many mold spores are in the garden today?
A.
1,593
B.
354
C.
387,099
D.
531
Answer:
D. 531
Step-by-step explanation:
500 grams of quarters
Answer:
0.04409 quarter
Step-by-step explanation:
A school survey found that 24 out of 30 students prefer chocolate milk to white milk. If the school has 500 students, which is the best
prediction of the total number of students who prefer chocolate milk?
Answer:
Around 401 students would prefer chocolate milk.
Step-by-step explanation:
500/30=16.66667...
24*16.7=400.8
you cant have an eighth of a vote so you round to 401
does anyone know the answer
Answer:
intercept = (1,2)
Step-by-step explanation:
What is the length of CA on the number line?
Answer:-1
Step-by-step explanation:
-5 + 4 = -1
Can someone please answer this please
-6 + -8 10 points plz help
Answer
The answer is negative 14.
Step-by-step explanation:
When you add a negative by a negative it equals a negative. Like if you add 1 + 1 it's going to equal 2 which is a positive, not a negative. So the answer is technically 8 + 6 which is 14 and all you have to do is add a negative sign.
is 16/24 equivalent to 2/3
is 10/16 equivalent to ⅔
Answer:
Yes for the first, no for the second
x + y = 5.90
2x + 4y = 16.80
The measure of angle Q is 70 degrees. Find the measure of angle P.
Answer:
∠ P = 40°
Step-by-step explanation:
Since PQ = PR then the triangle is isosceles and the base angles are congruent, then
∠ R = ∠ Q = 70° , so
∠ P = 180° - (70 + 70)° ← sum of angles in triangle is 180°
∠ P = 180° - 140° = 40°
Find the area of the circle to the nearest tenth. 12 in
А) 144л in^2
B) 6л in^2
C) 12л in^2
D) 36л in^2
Answer:
The answer is B
I had search that up before
what is 1/4 x 3/7 plzz
I NEED THIS BY M TONIGHT!! HELP YA SIS OUT -w-
Maribeth saved $25 per week. She has saved a total of $600. For how many weeks has Maribeth been saving?
Answer:
24 weeks.
Step-by-step explanation:
25x = 600
divide both sides by 25 to get:
x = 24
Answer:
24 weeks
Step-by-step explanation:
use y = mx+b
y = total amount saved = $600
m = amount saved per week = $25
x = number of weeks saving = ?
b is not needed in this problem
600 = 25X
x = 600/25
x = 24
SOMEONE HELP ME PLEASE ASAP AND SHOW THE WORK I WILL MAKE YOU BRAINLIEST AND GIVE YOU A GOOD RATE!!!!! SOMEONE HELP ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!
Answer:
5x+10=30
Step-by-step explanation:
sorry, it does not have any works/steps in forming this equation.
Solving equation(if needed):
5x+10=30
5x=20
x=4
Answer: you can count by fives 5,10 15,20,25,30
Step-by-step explanation:
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A.
y = 3x + 4
B.
y = 3x − 14
C.
y = 3x − 4
D.
y = 3x + 12
Answer:
A. y = 3x + 4
Step-by-step explanation:
got it correct!
List the factors of 0???
Answer: 7, 17, 96, are the factors of 0.
Step-by-step explanation:
Answer:
0 ,7, 17, 96
Step-by-step explanation:
Han's bank account has a balance that is overdrawn and his account balance is -$13.00. How much would he need to deposit in order to get his bank account balance to $10.00?
Answer:
$23.00
Step-by-step explanation:
Formula: -13 + d = 10 (d = deposit)
To get d by itself, add 13 to 10: d = 23
Therefore, you need to deposit $23.00.
I need your help on this.
Answer:
46 inches
Step-by-step explanation:
Answer:
The answer is 46 inches.
Step-by-step explanation:
138 / 3 = 46.
Are x and y proportional?
Answer:
yes they are
Step-by-step explanation:
if there are 2 beats in each measure and the quarter notes get the beat ( equals 1), what time signature would you be in
Answer:
2/4
Step-by-step explanation:
because if there are two in each measure that automatically makes it two beats out of 4.
pls help. ❤️ math!! pls
Answer:
i could be wrong but i think it is between July and September.
Step-by-step explanation:
because it went from 82 to 70 to 60 dollars while in May to August went from 82 to 66 to 82 to 70 so it increased back while answer A did not
Find the value of x in the triangle shown below.
Answer:
[tex] x = \sqrt{17} [/tex]
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x = \sqrt{ {9}^{2} - {8}^{2} } \\ \\ x = \sqrt{81 - 64} \\ \\ x = \sqrt{17} [/tex]
Max sells lemonade for $3 per cup and candy for $2 per bar. He earns $450 selling lemonade and candy. If Max sold 90 bars of candy, how many cups of lemonade did he sell?
found this sheet, hope it helps !!