$6,055.73
Step-by-step equation:
THE MAIN FORMULA:
initial amount (rate)^the amount of times it is occuring
Step #1, we need to break up the problem for the information:
Tia invests $2,500 at an interest rate of 4%, compounded quarterly,
and another $2,500 at an interest rate of 3.75%, compounded annually. How much are the investments worth at the end of 5 years ?
Step #2, find out how much the first account has in 5 years:
so we know that the rate is 4% quarterly and a quarter is 4. You have to divide 4% (.04 in decimal form) and 4 to get how much the rate is every quarter. That would be .01. After finding how much it is quarterly you would need to add 1. because it is increasing and not decreasing.
For the 20, you would need to multiply 5 and 4. 5 is the amount of years and the 4 is how many times it is happening in that 1 year.
2,500 (1.01)^20
Step #3, find out how much the second account has in 5 years:
we do the exact same steps like we did to find her first account but with different numbers.The number 20 is 5 because it only says for the second account "compounded annually" and annually means oncea year so you would have to mulitiply 5 by 1 and it would get you 5.
To find the rate, we would need to add 1 instead of subtracting one because the problem is and not decreasing. So it would be 3.75% (.0375 in decimal form) plus 1. and it would get you 1.0375.
2,500 (1.0375)^5
The last step is adding the answers to both of those equations together to get the amount of money that she invested:
3005.25 + 3050.48= $6055.73
emily folded a paper circle into 2 parts what is the angle measure of each part
Answer:
I think it would be 180 degrees
Step-by-step explanation:
yucca manor has sunny days for 80% of the year.if there are 365 days in a normal year,how many sunny days are there a year in yucca manor
Answer:
There are 292 sunny days a year in Yucca Manor
Step-by-step explanation:
80 x 365
-------------- = 292
100
Evaluate the square root to find the rational equivalent.
36
361
A
6
19
B.
6
361
18
180.5
D.
36
361
Answer:
JJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ
Step-by-step explanation:
The square root of 36 and 361 are 6 and 19 respectively.
What is a perfect square number?A number when taken square root gives an integer is a perfect square number.
Given, we have to find the square root of 26 and 361.
Now by prime factorization,
36 = 2×18 = 2×3×6 = 2×3×2×3 = 2×2×3×3 = 2²×3².
Now the square root of 2²×3² = √2²×√3² = 2×3 = 6.
The square root of 361 can be found by knowing the square root of 400 which is 20.
Now we'll check if 19² = 361 indeed 19×19 = 361 so, the square root of 361 is 19.
learn more about square roots here :
https://brainly.com/question/25155566
#SPJ5
what is the slope of the line represented by the table of values?
Answer:
The slope is -8/5
Step-by-step explanation:
Slope is the change of y over the change of x.
Two x and y values for example are -7, -2, 9, and 1.
You would set up the expression where you put 9-1 in the numerator and -7-(-2) in the denominator. The answer would be 8/-5.
Thus, the slope is -8/5.
78899999x344444444444444444
Answer:
2.7176666e+25
Step-by-step explanation:
a big number tbh
math question 6r + 7 = 13 +7r
Step-by-step explanation:
6r + 7 = 13 + 7r
6r - 7r = 13 - 7
-1r = 6
r = 6/-1
r = -6
math help..............................
Answer:
the answer is B
Find the value of Y
12y-32=4y
Hello there! (:
12y-32=4y
12y-4y=32
8y=32
Divide both sides by 8 in order to get y on its own:
y=4
Hope it helps!
~SparklingFlower (:
CAN SOMEONE HELP ME PLEASE ASAP!
Step-by-step explanation:
milli means thousandths.
in 1 gram there are therefore 1000 milligrams.
so, when you have milligrams, you need to divide them by 1000 to get the grams.
so, 1g/1000mg
Due in 30 minutes!!
Thank you:)
Answer:
The 3rd one as it's cubic
Answer:
The first one.
Step-by-step explanation:
Find the asymptotes.
Vertical Asymptotes: x = − 2
Horizontal Asymptotes: y = 3
No Oblique Asymptotes
So it has to be y=(1)/(x+2)+3
help me plz !!!!!!!!!!!!!!!!!
Answer:
the answer should be 54.6 grams
A snack bar sells 20 cups of hot chocolate on Monday. On Friday they sell 30 cups of hot chocolate. What is the percent increase/decrease?
Answer:
50% increase
Step-by-step explanation:
What is the ratio of yellow paint to blue paint? (2,04)
Answer:
204 ounces or it is 24 ounces
Step-by-step explanation:
Sorry if it is wrong
Will give brainliest!!
-12x = -48
A. 576
B. 4 (my guess)
C. -4
D. 1/4
Answer:
x = 4
Step-by-step explanation:
−12=−48
-12x=-48−12x=−48
−12−12=−48−12
x = 4
Bots don’t answer, please please
Find the intercepts for the graph of the equation.
-2x-2y = -4
Answer:
y= -x+2
Step-by-step explanation:
If what they are asking for is slope-intercept format, then you need to isolate the y on one side.
So add -2x to both sides to get, -2y= 2x-4
After that you would divide both sides by -2, and when you do this you are dividing every single term by -2 so you would get,
y= -x+2
that is your slope- intercept formula.
so your slope is m= -1
Answer:
X-intercept: (2,0)
Y-intercept: (0,2)
Step-by-step explanation:
all it's asking for when it says "find the intercepts" is for two points, the one with 0 in the x position, and the one with 0 in the y position of the point (x,y).
These are surprisingly easy! Just plug 0 into x and solve for y. In this case, that gives us (-2)x(0)-2y = -4
Do some algebra and you'll find that y = 2. Since we plugged in 0 for x, that gave us the y-intercept: (0,2). (Remember, the y-intercept is when it intersects the y-axis. All points on the y axis have an X coordinate of 0!)
Now do the same thing but plug 0 in for y.
-2x - (2)x(0) = -4
-2x = -4
x=2
This gives us the x-intercept of (2,0)
Factor the following trinomials. Show your work. Will mark as Brainliest if the answers are correct and have work shown.
1. -2x^2 - 10x + 100
2. 3x^3 + 9x^2 - 54x
3. x^2 +12x + 20
1st Question:
Our problem is [tex]-2x^2 - 10x + 100[/tex]
We have a common factor between the three terms, -2. So:
[tex]-2x^2 - 10x + 100[/tex]
[tex]-2(x^2 + 5x -50)[/tex]
We can factor further. What two numbers add up to 5 and multiply to -50? Our answer would be positive 10 and -5. Therefore:
[tex]-2(x^2 + 5x -50)[/tex]
[tex]-2(x +10)(x-5)[/tex]
2nd Question:
The problem is [tex]3x^3 + 9x^2 - 54x[/tex]
Like the first question, we can factor out a constant. In this case, we factor out a 3.
[tex]3x^3 + 9x^2 - 54x[/tex]
[tex]3(x^3 + 3x^2 - 18x)[/tex]
We can also factor out an x.
[tex]3(x^3 + 3x^2 - 18x)[/tex]
[tex]3x(x^2 + 3x - 18)[/tex]
We need to simply further. We can factor the quadratic into (x+6)(x-3).
[tex]3x(x^2 + 3x - 18)[/tex]
[tex]3x(x+6)(x-3)[/tex]
3rd Question:
Our problem is [tex]x^2 +12x + 20[/tex]
We do not have a coefficient, so we should factor the expression straight away. What two numbers add up to 12 and multiply to 20? the numbers 2 and 10. So:
[tex]x^2 +12x + 20[/tex]
[tex](x+2)(x+10)[/tex]
Find the perimeter.Simplify your answer.
Answer:
24x - 6
Step-by-step explanation:
Perimeter = 2(8x - 3) + 2(4x)
Perimeter = 16x - 6 + 8x
Perimeter = 24x - 6
-Chetan K
help me.
The diameter of a circle has endpoints S(2, 7) and U(4, -3). What are the coordinates of the center of the circle?
Answer:
Thus the center of the circle is at (3, 2)
Step-by-step explanation:
The center of the circle is also the midpoint of the diameter. Thus we can use the midpoint formulas, as follows:
sum of x coordinates sum of y coordinates
xm = ---------------------------------- and ym = -----------------------------------
2 2
In this case, xm = (2 + 4)/2 = 3 and ym = (7 - 3)/2 = 2
Thus the center of the circle is at (3, 2)
Consider the function f (2) = 9x + 2. Choose the correct answer when the function is evaluated for f (3)
f(3) = 95
f(3) = 29
f(3) = 11
f(3) = 20
Answer:
f(3)=20
Step-by-step explanation:
13.
A line passes through (3, –2) and (6, 2). Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.
A. y + 2 = 4/3(x – 3); –4x + 3y = –18
B. y – 3 = 4/3(x + 2); –4x + 3y = 17
C. y + 2 = 4/3(x + 3); –4x + 3y = –18
D. y – 2 = 4/3(x – 3); –4x + 3y = 18
Answer:
A. y + 2 = 4/3(x – 3); –4x + 3y = –18
Step-by-step explanation:
(3, –2) and (6, 2)
First, we must establish slope...
m=(y-y1)/(x-x1)
m=(-2-2)/(3-6)
m=-4/-3
m=4/3
Point slope formula is...
y-y1=m(x-x1)
Let's select either coordinate. I randomly select the first (3, –2)...
y--2=4/3(x-3)
Subtracting a negative number is the same as adding a positive number...
y+2=4/3(x-3)
This corresponds to the first answer.
Standard form...
Ax+By=C
y+2=(4/3)x-4
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
This also corresponds to the first answer.
How about the second coordinate, (6, 2)...
y-y1=m(x-x1)
y-2=(4/3)(x-6)
Let's convert it into standard form..
y-2=(4/3)x-8
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
FIRST ANSWER
y + 2 = 4/3(x – 3); –4x + 3y = –18
Solve the system of equations by the substitution method.
( y=2x+1
4y - 5x=13
Type an ordered pair
Step-by-step explanation:
y = 2x + 1
4y - 5x = 13
4(2x + 1) - 5x = 13
8x + 4 - 5x = 13
8x - 5x = 13 - 4
3x = 9
x = 9/3
x = 3
y = 2x + 1
y = 2.3 + 1
y = 6 + 1
y = 7
(x,y) = (3,7)
Write the ratio as a fraction in simplest form which whole numbers in the numerator and denominator 4 to 36
Answer:
1:9
Step-by-step explanation:
4:36
4 divided by what can be divisible by 36 too?
4 itself can.
4 divided by 4 is 1 and 36 divided by 4 is 9
1:9
THE ANGLES OF THE TRIANGLE ARE IN THE RATIO 5:3:7. THE TRIANGLE IS,
a. an acute angled triangle
b. an obtuse angled triangle
c. a right angle
d. an isosceles triangle
Answer:
a. acute
Step-by-step explanation:
the angles are 60° 36° 84°
all less than 180° and 90°
Find d²y / dx², dy / dx for the curve whose equation is x² + y²_3xy_6x + 5y + 2 = 0 at the point (2,3)
I assume you meant to write
x² + y² - 3xy - 6x + 5y + 2 = 0
Taking y = y(x) and differentiating both sides with respect to x with the power, product, and chain rules gives
2x + 2y dy/dx - 3y - 3x dy/dx - 6 + 5 dy/dx = 0
Solve for dy/dx :
2x - 3y - 6 + (2y - 3x + 5) dy/dx = 0
(2y - 3x + 5) dy/dx = 6 - 2x + 3y
dy/dx = (6 - 2x + 3y) / (2y - 3x + 5)
Now differentiate both sides again. Using the quotient and chain rules,
d²y/dx² = ((2y - 3x + 5) (-2 + 3 dy/dx) - (6 - 2x + 3y) (2 dy/dx - 3)) / (2y - 3x + 5)²
Expand and simplify the numerator:
d²y/dx² = (5y + 8 + (3 - 5x) dy/dx) / (2y - 3x + 5)²
Substitute dy/dx and simplify d²y/dx² :
d²y/dx² = (5y + 8 + (3 - 5x) (6 - 2x + 3y) / (2y - 3x + 5)) / (2y - 3x + 5)²
d²y/dx² = ((5y + 8) (2y - 3x + 5) + (3 - 5x) (6 - 2x + 3y)) / (2y - 3x + 5)³
d²y/dx² = (10y² + 50y - 30xy + 10x² - 60x + 58) / (2y - 3x + 5)³
Find the value of each variable in the following parallelograms.
Answer:
y+3=12
y=12-3
y=9
x-3=15
x=15+3
x=18
so,x=12
y=18
S j 2. Name a right triangle.
Answer:
b. none of these
Step-by-step explanation:
none of them have a 90⁰ angle
GUYS I REALLY NEED HELPPPP!!!!!
PLEASE ACTUALLY ANSWER THE QUESTION THOOO!!!!! ty plsssssssss
20 1/2 Im pretty sure
PLS HURRY!!! Miley has a shoe shelf 33 inches wide. If each of her shoes is 2 3/4 inches wide, how many shoes can she fit on the shelf? Which statements are correct? Check all that apply. A> To solve this problem, divide 33 by 11/4 B>To solve this problem, multiply 33 by 11/4 C> Miley’s shoe shelf can fit 12 shoes. D> Miley’s shoe shelf can fit 90 shoes.
what is 0.31 rounded to the nearest tenth
0.31 rounded to the nearest tenth would be 0.3
This Chart should help you in the future:
