Answer:
Option A and option B applies
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Marcus has opened a savings account where the yearly interest rate is 10%. He deposits $1,000 to start the account.
This means, respectively, that: [tex]r = 0.1, P = 1000[/tex]. So
[tex]A(t) = 1000(1 + \frac{0.1}{n})^{nt}[/tex]
Option A:
[tex]n = 1[/tex]. So
[tex]A(t) = 1000(1 + \frac{0.1}{1})^{t}[/tex]
[tex]A(t) = 1000(1.1)^{t}[/tex]
So option A applies
Option B:
[tex]n = 12[/tex]. So
[tex]A(t) = 1000(1 + \frac{0.1}{12})^{12t}[/tex]
0.1/12 = 0.008. So
[tex]A(t) = 1000(1 + 0.008)^{12t}[/tex]
[tex]A(t) = 1000(1.008)^{12t}[/tex]
So option B also applies.
The other options will not apply.
Answer:
A and B
Step-by-step explanation:
Arthur has been challenged to donate $50,000. He decides to donate exactly 50% of the money every day until less than $1 remains. Write a function that would represent this situation.
Answer:(-1/2^x)(50000)
Step-by-step explanation:
Does anyone know how to solve 2x + 4
Answer:well if your trying to find the x and y intercept then it would be x=(-2,0) and y (0,4) but im not sure if thats what your trying to find
Cameron wanted to get both lines with one zap. They solved an equation to find the intersection point and figured out that x=10. How could Cameron find the y-value of the point of intersection?
Write the decimal as a percent.
3.68=%
Answer:
Step-by-step explanation:3.68 = 368%
A light bulb manufacturing process results in 6% of the light
bulbs being defective. If 5 light bulbs are randomly
selected, find the probability that all of the light bulbs are
fully functioning.
Answer:
[tex]Probability = 0.734[/tex]
Step-by-step explanation:
Given
Represent the event that a bulb is defective with p.
So:
[tex]p =6\%[/tex]
Required
Determine the probability that all 5 are fully functioning
Represent the event that a bulb is defective with q.
So:
[tex]p + q = 1[/tex]
Make q the subject
[tex]q = 1 - p[/tex]
Substitute 6% for p
[tex]q = 1 - 6\%[/tex]
Convert % to decimal
[tex]q = 1 - 0.06[/tex]
[tex]q = 0.94[/tex]
If 5 were selected and all are functioning, the event is represented as: q q q q q
And the probability is:
[tex]Probability = q * q * q * q *q[/tex]
[tex]Probability = q^5[/tex]
Substitute 0.94 for q
[tex]Probability = 0.94^5[/tex]
[tex]Probability = 0.7339040224[/tex]
[tex]Probability = 0.734[/tex] --- approximated
The seller of a watch marked up the price by 30%, and the new price is $468.00. What was the watch’s original price before the markup?
Answer: I THINK SO 608.4
HOPE THIS HELPS
20 pts for free ig I'd just need an awnser
Answer:
No
Step-by-step explanation:
4 : 7 = 2 : 3.5, not 2 : 3
Answer:
No
Step-by-step explanation:
4/2=2
2 x 2 = 4
3 x 2 = 6
4:7 and 4:6 is not equal.
Pls help I’ll brainlest for the right answer
Answer:
5.9+z=−9
Step 1: Simplify both sides of the equation.
z+5.9=−9
Step 2: Subtract 5.9 from both sides.
z+5.9−5.9=−9−5.9
z=−14.9
Answer:
z=−14.9
Step-by-step explanation:
I hope this can help!!!
Which of the following does NOT represent a function?
Answer:
the last one
Answer:
i think its the first one
Step-by-step explanation:
I NEED HELP ASAP
Darwin says that two expressions 3x + 4(2x + 5) and 6x + 5x + 5 are equivalent. Simplify the expressions to determine whether or not Darwin is correct.
Answer:
Darwin is not correct.
Step-by-step explanation:
3x+4(2x+5) = 6x+5x+5
3x+8x+20 = 11x + 5
11x+20 ≠ 11x+5
A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at an angle above the horizontal. Is it a home run
Complete Question
A batter hits a baseball 3 ft above the ground toward the center field fence, which is 10 ft high and 400 ft from home plate. The ball leaves the bat with speed at 115 an angle 50 above the horizontal. Is it a home run?
Answer:
[tex]t=5.40sec[/tex]
Step-by-step explanation:
From the question we are told that
Height on hit [tex]H_h=3ft[/tex]
Height of center field fence [tex]H_f=10ft[/tex]
Distance from home plate [tex]D=400ft[/tex]
Initial speed [tex]v_0=115[/tex]
Angle [tex]\theta=50[/tex]
Generally the Parametric equation of the trajectory of a projectile are mathematically represented as
[tex]x=(v_0cos\theta )t[/tex]
[tex]y=(v_0sin\theta )t-\frac{1}{2} gt^2[/tex]
Therefore
[tex]x=(v_0cos\theta )t[/tex]
[tex]x=(115cos50\textdegree )t[/tex]
[tex]x=74t[/tex]
[tex]y=(v_0sin\theta )t-\frac{1}{2} gt^2[/tex]
Initial co_ordinates (0,3)
[tex]y=3+(115sin50\textdegree )t-\frac{1}{2} 32t^2[/tex]
[tex]y=3+88t-16t^2[/tex]
Generally its a home run when Y>10 and x=400
Time when x=400 is
[tex]t=\frac{400}{74}[/tex]
[tex]t=5.40sec[/tex]
1 and 1/2 divided by 4 and 2/8
Answer:
1.375
Step-by-step explanation:
Answer: 11/2
Step-by-step explanation:
PLEASE ANSWER ILL GIVE 50 POINTS AND BRAINLIEST!!!!!
Answer:
19/14x + 97/56
Help on No. 5 plz.........
What’s the function and domain and range. (1, -2) (-2, 0) (-1, 2) (1, 3)
Answer: Domain:
{
1
,
−
2
,
−
1
}
{
1
,
-
2
,
-
1
}
Range:
{
−
2
,
0
,
2
,
3
}
Step-by-step explanation: The domain is the set of all the values of
x
x
. The range is the set of all the values of
y
y
.
if you can help it would be much appreciated
Answer:
V≈5321.86
Step-by-step explanation:
i don’t understand this unit please answer asap
Answer:
a
Step-by-step explanation:
13.5 x 12.1 what does it equal
Answer:
163.35
Step-by-step explanation:
13.5 x 12.1 = 163.35
Combine like terms.
3(2-5) – (4w=11)
Answer:
-5 = w
Step-by-step explanation:
3(2-5) – (4w=11)
Distributive property
6 - 15 - 4w = 11
Combine like terms
-9 - 4w = 11
Add 9 on both sides
-9 + 9 - 4w = 11 + 9
-4w = 20
Divide by -4 on both sides to isolate the variable
-4w/-4 = 20/-4
w = -5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
i can solve this put first why is there an equal sign in between the parantasis
if you want to keep the equal sign delet the ()
Step-by-step explanation:
3(2-5) – 4w=11
-9-4w=11
-4w=20
w=-5
you have to do parantasis first
p--parantasis
e--exponents
m--multiplication
d--division
a--adition
s--subtraction
why wasn't i doing this sooner :)
Step-by-step explanation:
Morning is 4 hr 15 min
afternoon is 4 hour 15 min
together is 8 hour 30 min
8.5*14 = 119 dollars
According to the unitary method, the wage of the weekly time for the employee is written as $119.00
To calculate the hours worked on Monday, we need to consider both the morning and afternoon shifts. For the morning shift, the employee clocked in at 08:00 AM and clocked out at 12:15 PM. The total time worked in the morning is 4 hours and 15 minutes (12:15 - 08:00).
Similarly, for the afternoon shift, the employee clocked in at 01:00 PM and clocked out at 05:15 PM. The total time worked in the afternoon is 4 hours and 15 minutes (05:15 - 01:00).
Adding both morning and afternoon hours, the total hours worked on Monday is
(4 hours 15 minutes + 4 hours 15 minutes) = 8 hours and 30 minutes
To perform the calculation, we need to convert the minutes to decimal hours. There are 60 minutes in an hour, so we divide the minutes by 60 to get the decimal representation. In this case, 30 minutes is equal to 0.5 hours.
Now that we have the total hours worked on Monday, we can calculate the pay. We multiply the total hours worked by the hourly wage. In this case, the hourly wage is $14/hr.
So, the pay for Monday would be:
Pay = Total hours worked x Hourly wage
Pay = 8.5 hours x $14/hr = $119.00
To know more about wage here
https://brainly.com/question/32552927
#SPJ2
A company earns £3,178,784 in 2016. 4/7 of the income is spent on salaries.
How much money does the company spend on salaries in 2016?
gasta 1816448 en salarios
Step-by-step explanation:
Teddy makes 32 fluid ounces of hot cocoa. He pours equal amounts of cocoa into 5 cups. The amount of hot cocoa in each cup will fall between which two amounts?
A. 3 and 4 fluid ounces
B. 4 and 5 fluid ounces
C. 5 and 6 fluid ounces
D. 6 and 7 fluid ounces
what is the area of the square
Answer:
T
Step-by-step explanation:
(x-10)^2=(x-10)(x-10)=(x^2-10x-10x+100)=x^2-20x+100
Find the surface area of the pyramid. The side lengths of the base are equal.
1: 20 sq. meters
2: 36 sq. meters
3: 20 meters
4: 36 meters
Answer:
God Loves you
Step-by-step explanation:
Because he died for you. "John 3,16"
Will mark brainliest!!
Solve for x
Answer:
The x=22
Step-by-step explanation:
Solve the equation 18t – 8 = 1 for t.
A. 1/6
B. 1/4
C. 1/2
D. 2
Answer:T=1/2
Step-by-step explanation: brainlyist
An airplane is heading due south with an airspeed of 196 miles per hour (mph). A wind from a direction of
N 58°E is blowing at 14 mph. Determine the bearing of the airplane by computing the magnitude and
direction of the resultant vector. Round the angle to the nearest degree.
(A)S 88°W
(B) S 87W
(C)S 2º W
(D)S 3W
Answer:
d
Step-by-step explanation:
what 2 answers are these?! x^2−5x−8=0
Answer:
sorry look question at once and comment
177 is what percent of 300? Round your answer to the nearest tenths.
Answer: 59%
Step-by-step explanation:
Hope this helps have a great day. :)
Answer:
59%
Step-by-step explanation:
I would solve this through proportions
177 x
300 100
Cross multiply
177 x 100 = 17700
And then divide
17700/300 = 59
The answer is 59%
For every 1000 hits a channel gets it makes £2.50 from ad revenue.
How many hits will the channel need to make £1