Answer:625
Step-by-step explanation:
12048.7006-11423.8842
624.8164
$625
After 9 years, Zachary has $615.2 more than Peyton in his account.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The equation is given as,
[tex]\rm P=P_oe^{rt}[/tex]
Zachary invested $5,300 in an account paying an interest rate of 9 % compounded continuously. Then the amount is calculated as,
[tex]\rm P = \$5,300 \times e^{(0.09\times 9)}\\[/tex]
P = $5,300 × 2.2479
P = $11,913.9
Peyton invested $5,300 in an account paying an interest rate of 85% compounded quarterly. Then the amount is calculated as,
[tex]\rm A = \$5,300 \times \left (1 + \dfrac{8.5}{400} \right )^{4 \times 9}[/tex]
A = $5,300 × 2.1318
A = $11,298.7
The difference is given as,
D = $11,913.9 - $11,298.7
D = $615.2
After 9 years, Zachary has $615.2 more than Peyton in his account.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ5
Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?
Answer:
40 years
Step-by-step explanation:
He was also the first Roman Emperor
Mr.Millar's garden is in the shape of a trapezoid shown below. what is the area of his garden
Answer:
[tex]Area = 12.5m^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the area
The area is calculated using:
[tex]Area = \frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]
From the attached image:
The parallel sides are 4m and 6m respectively while the height is 2,5m
So, the area is:
[tex]Area = \frac{1}{2} * (4m + 6m) * 2.5m[/tex]
[tex]Area = \frac{1}{2} * 10m * 2.5m[/tex]
[tex]Area = 5m * 2.5m[/tex]
[tex]Area = 12.5m^2[/tex]
I need help fast please
Answer:
triangle, circle
Step-by-step explanation:
I put a link at the bottom to show you how i got my answer
The vertical cross-section of a cone is a triangle. The horizontal cross-section is a circle
9x^3−64 to factored form
Answer: its 3(3x^3-8)
Step-by-step explanation:
what is the slope of equation y=1/3x
Answer:
1/3
Step-by-step explanation:
Hey There!
The slope of y=1/3x is 1/3
The number right in front of the x is the slope
Hope this helps :)
Eighty students at John Middle School signed up for after school clubs. The graph below shows the different clubs the students chose.
Answer:
The answer is D, not here
Step-by-step explanation:
Members in dance club = 8
Members in soccer club = 12
Members in art club = 8
art: soccer + dance = 8 : 20
= 2:5
The answer is D, not here
Answer:
Not there
Step-by-step explanation:
We can see that the amount art club students is 2 lines below 10 and with the assumption that each line represents 1 we can say 10 - 2 = 8. Because the number 8 isn't even in the option choices then it becomes not listed aka not there.
A quadrilateral has two angles that measure 170° and 75°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?
Answer:
15° & 100°
Step-by-step explanation:
360-170-75=115
115÷23=5
3x5=15
20x5=100
Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?
Answer:
0.8
Step-by-step explanation:
Answer: 1 minute and 25 seconds
Step-by-step explanation:
In the ordered pair (3, 4), which number represents the x-coordinate
Answer:
3
Step-by-step explanation:
Coordinate pairs are represented like this (x, y). So since 3 is in the first spot, it is the x coordinate.
The bottom of a circular swimming pool with a diameter of
9 meters is painted blue. How many square meters are blue?
Answer: hi
Step-by-step explanation: sorry needed points
If f(x) = x* and g(x) = 3+8x?, find g(f(x)).
g(8x-3)=x
have a good day
Un bloque de 300 N se desliza sobre una superficie inclinada que forma un ángulo de 25° con la horizontal y cuyo coeficiente de fricción dinámico es 0,48. Hallar la fuerza paralela a la superficie inclinada que se debe aplicar al bloque para que se mueva con velocidad constante.
Select the term for what a manufacturer spends for goods or services.
A.
cost
B.
price
C.
markup
Answer:
A: Cost
Step-by-step explanation:
Plato
1. What is solution to 0.2(6x - 12) = 0.3(6 - 4x)
Answer:
x = 1.75Explanation:
0.2(6x - 12) = 0.3(6 - 4x)
Simplify both sides of the equation0.2(6x − 12) = 0.3(6 − 4x)
(0.2)(6x) + (0.2)(−12) = (0.3)(6) + (0.3)(−4x) (Distribute)
1.2x + −2.4 = 1.8 + −1.2x
1.2x − 2.4 = −1.2x + 1.8
Add 1.2x to both sides1.2x − 2.4 + 1.2x = −1.2x + 1.8 + 1.2x
2.4x − 2.4 = 1.8
Add 2.4 to both sides2.4x − 2.4 + 2.4 = 1.8 + 2.4
2.4x = 4.2
Divide both sides by 2.42.4x / 2.4 = 4.2 / 2.4
x = 1.75I’ll mark you!!! (I got 5 but I just wanna check my answer to see if we got the same answer)
Answer:
I think its B but I'm not 100% sure
Answer:
Its 20 buckets.
Step-by-step explanation:
Determine the intercepts of the line.
y + 5 = 2(x + 1)
y-intercept:
T-intercept:
Answer:
3 5 minus 2 equal 3 plus 1 equals 4
Which value is nearest to 8? Show thinking in the space provided.
7.511 155/20 8.3%
Answer:
155/20
Step-by-step explanation:
155/20 in decimal form is 7.75, which is only 0.25 off of 8
7.511 is 0.489 off of 8
8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.
You spend $44 on a game, receive $30 for painting a fence, and give $5 to your friend. You have $32 left.
How much money did you start with?
a) $74
bj $37
c) $51
d) $39
Answer:
$51
Step-by-step explanation:
32+5+44
81-30
$51
Please hurry I have 2 weeks of school left I need to pass
Answer:
41.5 hours
Step-by-step explanation:
310.42 divided by 7.48 = 41.5 hours
how many solutions does y equals -6x - 7 have
Answer:
Infinitely many solutions.
Step-by-step explanation:
x can be any number, and the y will change with x.
Jenny and Mindy are working on a quilt. Jenny has completed 7/8 of the quilt and Mindy has completed 1/5 of it. Does the fraction 27/40 represent how much more of the quilt Jenny has completed than Mindy?
Answer: yes
Step-by-step explanation:
[tex]\frac{7}{8} -\frac{1}{5} \\\\frac{35}{40}-\frac{8}{40} \\\frac{27}{40}[/tex]
Write each fraction as a decimal. Use bar notation if necessary
1. 8/9
2. -2/5
3. 7/11
4. 7/8
5. -5/11
6. 47/99
Question 5 of 10 For what value of x is the rational expression below equal to zero? (x-3)(x + 1 A-3 B. -1 C. 1 D. 3
Answer:
x = 3
Step-by-step explanation:
(x - 3) (x - 1) = 0
(x * x) - 2x + 3 = 0 ( quadratic equation)
[tex] {a}^{2} + bx + 3 = 0[/tex]
by the formula above (on the pic) x = 0
you can check it!
que es una fracion ?
ayudenme plisssssssssssss
Answer:
Parte dividida o separada de un todo considerada por separado.
Step-by-step explanation:
Answer:
Una cantidad numérica que no es un número entero.
Step-by-step explanation:
Start at 4. create a pattern that multiplies each number by 4. stop when you have 5 numbers
Answer:
5019
Step-by-step explanation:
79 * 4 + 3 = 319
319 * 4 + 3 = 1,279
1,279 * 4 + 3 = 5,019
Find the common ratio for the following sequence .1, .01, .001
Answer:
0.1
Step-by-step explanation:
The common ratio of a sequence is the number you multiply one term to get the next one. Here, we multiply 0.1 by 0.1 to get 0.01, and 0.01 by 0.1 to get 0.001, so our common ratio is 0.1.
Write an inequality for the following statement.
a is greater than or equal to 5
Answer:
a ≥ 5
Step-by-step explanation:
When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X
b. Compute E[X]
Answer:
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) = 1.9
Step-by-step explanation:
From the question above:
X ; number of misses
For :
X = 0 ; P(X = 0) = 1/3 = 0.333
X = 1 ; misses first ; succeeds on second
P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167
X = 2 ; misses first, misses second, succeeds on third
P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10
X = 3 :misses first, misses second, misses third succeeds on fourth
P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067
X= 4
P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) :
Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)
0 + 0.167 + 0.2 + 0.201 + 1.332
= 1.9
Need help to solve this
I WILL GIVE U A BRAINLIEST I NEED HELP ASAP
Answer:
First answer choice, N = w^2 - 4w
Step-by-step explanation: