Answer:
Step-by-step explanation:
Jamie deposits $627 into a savings account. The account has an interest rate of 3.5%, compounded quarterly. Write the function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit.
The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 627(1.00875)^{4t} (in dollars)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
For this case, we're given that:
Initial amount Jamie deposits = P = $627Rate of interest = 3.5% compounding quarterlyTime = t yearsRate of interest is compounding quarterly.
Each year has 4 quarters.
Rate of interest is usually annual rate of interest. Since compounding is done quarterly, let we express everything in quarter years.
Quarterly interest rate compounding quarterly = 3.5/4 = 0.875% = R%
t years has 4t quarters = T
Thus, we get the final amount in Jamie's account as
[tex]A = P\left(1 +\dfrac{R}{100}\right)^T\\\\A = 627 \left(1 +\dfrac{0.875}{100}\right)^{4t}\\\\A = 627(1.00875)^{4t} \: \rm \text{(in dollars)}[/tex]
Thus, the function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is [tex]A = 627(1.00875)^{4t}[/tex] (in dollars)
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Solve
Y/2 +22=38 for .
do u mind answering for some points?
Answer:
Step-by-step explanation:
Y = 32
10. 3(6a); a = 3
11. 5d(4); d = -2
12. (5r)(-2); r = -3
13. 3b(8) + (-2)(7c); b = -2, c = 3
14. -4(3s) + 2(-t); s = ½, t = -3
15. 9(4p) - 2(3q) + p; p = -1, q = 4
16. 7(4g) + 3(5h) + 2 (-3g); g = ½, h =⅓
Answer:
The answer is 1/65
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
You have to find the greatest common factor of the numbers
Step-by-step explanation:
A field has a length of 260 meters and a width of 500 meters. Part of the field, 50 meters by 200 meters, is paved for a parking lot. How much of the area remains unpaved?
Answer: 120,000 meters²
Step-by-step explanation:
First find the area of all the land both paved and unpaved:
= Length * Width
= 260 * 500
= 130,000 meters²
The find the area paved:
= 50 * 200
= 10,000 meters²
The area left unpaved:
= Total area - Paved area
= 130,000 - 10,000
= 120,000 meters²
y=2x - 1 and y= -x + 5
At what x-value are the equations equal?
X=0
X=1
X=2
X=3
Answer:
X=2
Step-by-step explanation:
When x is 2, y=3 for both equations
Solve for theta
[tex]solve \: for \: \alpha .[/tex]
, if Cos30 = 0.45
Which of the following is the most reasonable product of 5 10/11 and 3 16/17
15
18
20
24
Answer:
24
Step-by-step explanation:
Both improper fractions are very close to the next whole number, and since it asks for the most reasonable product (multiply/times) you can round them both up to 6 and 4. 6 x 4= 24
can anyone answer me bc this is confusing
Answer:
the answer is D. y=-1/2x
understand
i will give brainliest tovthe first person that answers
Answer:
hii
Step-by-step explanation:
Ms. Brockman wants to take her class on a trip to either the nature center or the zoo. The nature center charges $4 per student, plus $95 for a 1-hour naturalist program. The zoo charges $6 per student plus $75 for a 1-hour guided tour. Find the number of students where the two field trips would have the same cost.
Step-by-step explanation:
ten students.
4(10)+95=135
6(10)+75=135
4x+95=6x+75
-75+4x+95=6x+75-75
4x+20=6x
-4x+4x+20=6x-4x
20=2x
(20=2x)/2
x=10
Answer:
10 students
Step-by-step explanation:
4(10)+95=135
6(10)+75=135
4x+95=6x+75
-75+4x+95=6x+75-75
4x+20=6x
-4x+4x+20=6x-4x
20=2x
(20=2x)/2
x=10
help me please andwer this
Answer:
B
Step-by-step explanation:
i am smart
1/5 divided by 3 please! in fraction form!!
Answer:
1/15
Step-by-step explanation:
PLS WILL GIVE 100 POINTS AND MARK BRAINLEST
Answer:
angle 2 = 128 because of a rule that I unfortunately cannot remember the name of....
angle 6 = 180 - 47 = 133
because a straight line = 180 degrees
angle 3 = 180 - 128 = 52
Same reason as angle 6
angle 1 = 52 + 47 = 99
180 - 99 = 81
Sum of the angles in a triangle = 180
All of the underlined numbers are the answers
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
how many lines of symmetry does does this triangle have ?
Answer:
D..... 3 lines of Symmetry
HELP LOLLLLLLLLLLLLLLLLL
Answer:
15^2 + 20^2
[tex]\sqrt{625}[/tex] = 25
Step-by-step explanation:
drag step's into order to correctly to solve the equation x-27=
Answer:
x = 89x - 27 (+27) = 62 (+27)Step-by-step explanation:
you have to isolate x, the variable. to do so, you have to invert the number to 'cancel' it out
HELP ME
I WILL GIVE YOU BRAINLIEST
Answer: The mass of the remaining element = 1.1 grams .
Step-by-step explanation:
Exponential equation of decay: [tex]y=A(1-r)^x[/tex] ...(i), where A = intial value , r= rate of decay in decimal , x= time.
As per given :
Initial mass : A= 140 grams
Rate of decay : r= 21.6% per minute= 0.216 per minute.
x= 20 minutes
Substitute values in (i) , we get
[tex]y=140(1-0.216)^20\\\\=140(0.784)^2^0=1.077579422[/tex]
Hence, the mass of the remaining element = 1.1 grams .
In circle A, BE and FC are diameters. Find the measure of arc FC.
Explanation please and no sketchy links <3 Thank you
Answer:
180°
Step-by-step explanation:
In [tex] \odot A, [/tex] [tex] \overline {BE} [/tex] and [tex] \overline {FC} [/tex] are diameters. (given)
Therefore, FC is a semicircular arc.
Since, measure of semicircular arc is 180°
[tex] \therefore m\widehat {FC} =180\degree [/tex]
A vase in the shape of a cube measures 8
inches on each side. The vase is half full with
water. How many cubic inches of water are
in the vase?
Nandini uses a code to open a security door.
The code is a letter followed by a 2-digit number.
The letter is P or Q.
The number is a prime number between 30 and 40
Write down all the possibilities for Nandini's code.
Answer:
57
Step-by-step explanation:
getting brainlys
centimeters, decimeters, meters, and kilograms are examples of what
HELPPPPPPP DUE IN 10 MINUTESS!!!
Determine whether each relationship is a function
The zeros of a function are the values of for which the function is equal to zero. Enter a number in each blank to make true statements about the function ()=(2−6)(−4).
Answer:
Here we want to complete the blank to make the equality true:
( ) = (2 - 6)*(-4)
The equality is true if we have the same value in both sides, so we can think of this as an algebraic equation:
x = (2 - 6)*(-4)
We just need to find the value of x.
Then let's solve the right side:
x = (2 - 6)*(-4) = (-4)*(-4)
Remember the rule of signs:
(-)*(-) = (+)
x = (-4)*(-4) = 4*4 = 16
Then we need to complete the blank with the number 16
(16) = (2 - 6)*(-4)
Find the perimeter.
42
14
82
102
O
12
102
Perimeter = ?
Simplify your answer completely.
11. The value of a piece of machinery, in dollars,
after t years is described by the function below.
f(t) = 12,500 - 1,600t
What is the value of the machinery after 4
years?
оооо
A. $7,700
B. $6,400
C. $6,100
D. $10,900
Is (-2, 4) a solution of the graphed inequality?
Choose 1 answer:
Yes
No
Answer:
Yes
Step-by-step explanation:
I think the test
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Answer:
I believe the answer is 250. I hope this helps Bye!
graph the equation y = -x^2 + 10x - 16 on the accompanying sex of axes. you must plot 5 points including the roots and the vertex
Answer:
This is what I got! Hope it helps! :)
The zeroes are (2, 0) and (8, 0),Vertex is (5, 9), remaining points plotted on the graph are (4,8) and (6,8).
What is graph of quadratic equation?The graph is not a line. This figure is called a parabola. Every quadratic equation has a graph that looks like this.
All parabolas of the form y = [tex]a{x}^{2}+bx+c[/tex] open upwards or downwards.
When the [tex]{x}^{2}[/tex] term is positive, the parabola opens upward, and when the [tex]{x}^{2}[/tex] term is negative, the parabola opens downward.
After plotting the equation [tex]y=-x^{2} +10x-16[/tex]
From the graph i have labelled 5 points, they are
As per the graph the zeroes are (2, 0) and (8, 0),Vertex is (5, 9), remaining points plotted on the graph are (4,8) and (6,8).
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If , what is the truncation error for S4? 0.037 0.111 2.889 2.963
Answer:
Step-by-step explanation:
If [tex]\sum _{n=1}^{\infty }\:\frac{6}{3^n}=3[/tex] then, The truncation error for S4 is equal to 0.037.
We have given that,
[tex]\sum _{n=1}^{\infty }\:\frac{6}{3^n}=3[/tex]
We have to determine the value of S_4
Here plug the value n=4.
What is the series?A series is the sum of a sequence. In other words, a series is just the addition of all the terms in a sequence.
Therefore we get,
[tex]\sum _{n=1}^{\infty }\:\frac{6}{3^4}=3[/tex]
Therefore the value of S_4=0.037
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