Answer:
$17,805.64
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.5/100
r = 0.035 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 11,000.00(1 + 0.035/1)(1)(14)
A = 11,000.00(1 + 0.035)(14)
A = $17,805.64
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $11,000.00 at a rate of 3.5% per year compounded 1 times per year over 14 years is $17,805.64.
After 14 years, Taylor's account would have approximately $19,580 in it, assuming no deposits or withdrawals are made and the interest rate remains constant at 3.5% compounded continuously.
We have,
The formula for continuous compounding is:
A = P[tex]e^{rt}[/tex]
where A is the final amount, P is the principal (initial amount), e is Euler's number (approximately equal to 2.71828), r is the annual interest rate as a decimal, and t is the time in years.
In this case,
P = $11,000, r = 0.035 (3.5% as a decimal), and t = 14 years.
Plugging in these values, we get:
A = 11000 x e^(0.03514)
Using a calculator, we can evaluate this expression to get:
A ≈ $19,579.94
Rounding to the nearest dollar gives:
A ≈ $19,580
Therefore,
After 14 years, Taylor's account would have approximately $19,580 in it, assuming no deposits or withdrawals are made and the interest rate remains constant at 3.5% compounded continuously.
Learn more about continuous compounding here:
https://brainly.com/question/30761889
#SPJ2
Find the value of x in the figure shown
68°
to
a. 20
b. 22
c. 45
d. 80
Answer:
B
Step-by-step explanation:
The square in the lower left means the angle is 90
x + 68 + 90 = 180 All triangles have 180 degrees.
x + 158 = 180 Subtract 158 from both sides
x = 180 - 158 Combine
x = 22
$1,200 at 7% for 4 years
Answer:
372.95
Step-by-step explanation:
To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.
A = P ( 1 + R ) ^n
100
where p = principal ($1200)
a = amount (?)
r = interest rate (7%)
n = time ( no of years) (4)
A = 1200 ( 1 + 7 ) ^4
100 A = 1200 ( 1 + 0.07) ^4
A = 1200 ( 1.07)^4 , A = 1200 ( 1.31079)
A = 1,572.95
WE now find compound interest with the formula:
C = AMOUNT - PRINCIPAL = $1,572.95 - $1200
C = 372.95
.....................
Answer:
x = 3, T = 95°
Step-by-step explanation:
the sum of the interior angles of a four sided shape known as a quadrilateral is 360 degrees.
add all angles and equate to 360
95 + 75 + 30x + 5 + 30x + 5 = 360
collect like terms
180 + 60x = 360
subtract 180 on both sides
60x = 180
divide 60 on both sides
x = 3
the angle of T:
30x + 5
input x = 3
30(3) + 5 = 95 °
Caroline scored 8 more points than three times the number of points as Kamila. If Kamila scores 8 points in her next try, she will have scored 40 points for the season.
Question 1
Part A
Answer: 32
step by step explanation: 40 - 8 = 32
Can someone please help me ASAP I will give brainiest
Can you find both the value of x and y? It is a 30-60-90 triangle
Answer:
x = 8*root3
y = 16
Step-by-step explanation:
You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:
the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!
Another shortcut:
The longer leg is the shorter leg × root3.
This ALWAYS works on 30°-60°-90° triangles.
So on your triangle, the short side is 8, that means the longer leg is 8×root3.
ta-daaaa!
Evaluate the expression 3a + 1 for a = 2.
Answer:
Your answer will be 7.
Step-by-step explanation:
[tex]\huge\fbox{Hi~there!}[/tex]
We are given an expression: 3a+1.
We are also given the value of a: 2.
All we should do in order to figure out the value of the expression is plug in the value of a:
[tex]\rm{3a+1[/tex]
[tex]\rm{3(2)+1[/tex]
[tex]\rm{6+1[/tex]
[tex]\rm{7[/tex] (Answer)
I hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*\star[/tex]
9. Show that for any real numbers a and b the vectors u = ai and v = bj are orthogonal?
1) Solve ;
[tex]3(x - 5) \leqslant x - 8[/tex]
Notes :-
Kindly don't spam...
Don't copy from web...
Answer:
x ≤ 7/2
Step-by-step explanation:
Expand brackets: 3x - 15 ≤ x - 8
Subtract x from both sides: 2x - 15 ≤ -8
Add 15 to both sides: 2x ≤ 7
Divide both sides by 2: x ≤ 7/2
Answer:
Hello There!
[tex] \huge \dag \sf \green{question}[/tex]
[tex]3(x - 5) \leqslant x - 8[/tex]
[tex] \rule{200pt}{5pt}[/tex]
[tex] \huge \hookrightarrow \sf \blue{answer}[/tex]
[tex] \rule{200pt}{5pt}[/tex]
Use the distributive property to multiply 3 by x-5
[tex]3x - 15 \leqslant x - 8 [/tex]
Subtract x from both sides
[tex]3x - 15 - x \leqslant 8[/tex]
Combine 2x and -x to get 2x
[tex]2x - 15 \leqslant - 8[/tex]
Add 15 to both sides
[tex]2x \leqslant - 8 + 15[/tex]
Add -8 and 15 to get 7
[tex]2x \leqslant 7[/tex]
Now divide both the sides by 2
As 2 is > 0, the inequality direction remains the same.
[tex]x \leqslant \frac{7}{2} \\ [/tex]
[tex] \rule{200pt}{5pt}[/tex]
Hope it helps you from my side
:)A 2-gallon bucket of paint costs $59.20. What is the price per cup?
Answer:
i would say about $1.85
Step-by-step explanation:
There are 16 cups in one gallon and so you at 16+16 and you get 32 so you devide 59.20 by 32 and you get your answer. 1.85
classify the angle
HELP PLEASR I FORGOT HOW TO DO THIS LMA
Answer:
hope this helped
Step-by-step explanation:
the answer would be the 3rd one
The sum of a number and 5 is -35?
Answer:
The unknown number is -40
Step-by-step explanation:
Let x = the unknown number
x + 5 = -35
Subtract 5 from both sides
x = -40
I hope this helped and please mark me as brainliest!
Combine like terms to find X
16+4x=5x+5
Answer:
Answers in description based on what you're looking for. Not sure if you meant solve, because combining like terms results in repeating number
Step-by-step explanation:
- Combining like terms would lead to:
21 = 9x
/9 /9
x = 2.333333 (Repeating 3)
- Or to solve:
16 + 4x = 5x + 5
- 4x - 4x
16 = x + 5
- 5 -5
11 = x
7
From her cell phone bill,
Hannah sees that of the
3,500 text messages that
she sent last month, 15%
were sent at night. How
many messages did
Hannah send at night?
Step-by-step explanation:
525
15% of 3500
15/100 ×3500
0.15×3500
525
What is the solution for x in the equation 5(x + 3) = 5x + 3?
A.x = 3
B.x = 5
C.All real numbers
D.No solution
Answer:
D
Step-by-step explanation:
Multiply the 5 in to get 5x + 15 = 5x + 3
You can now see that no value for x will satisfy the equation.
please help me i don’t understand it
What are the solutions for f(x)g(x)
Answer:
x = -1, 1
Step-by-step explanation:
The solutions to f(x) = g(x) are the x-values where the two functions have the same value.
The functions are both 1 when x = -1.
The functions are both -7 when x = 1.
The two solutions are x = -1, x = 1.
8. Find the y-intercept for the equation
3y + 4x = 15
Answer:
5
Step-by-step explanation:
First you need to know the SLOPE INTERCEPT FORM: y = mx + b
where m is the slope, and be is the y intercept
Now we re-write your question in the slope intercept form
Slope- Intercept form of 3y + 4x = 15: y = -4/3x + 5
according to the slope intercept form (y = mx + b) ~ the y intercept is 5
Dont get why? well the slope intercept form says y= mx + b, once we had re-written your equation as -4/3 + 5 in this case the b (y-intercept) is +5
Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers.
How many customers does Mary have?
A. 16 customers
B. 20 customer
C. 50 customers
D. 57 customers
i need this ASAP please help
Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers. then the total number of customers Mary has is 50.
Given :
Mary delivers 32 newspapers to her customers in 25 minutes.These deliveries represent 64% of her customers.The unitary method can be used to determine the number of customers Mary has.
As per the given data, Mary delivers 32 newspapers to her customers in 25 minutes and these deliveries represent 64% of her customer than the total number of customers is given by:
[tex]=\frac{100}{64}[/tex] × [tex]32[/tex][tex]=\frac{3200}{64}[/tex]= 50
Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers. then the total number of customers Mary has is 50.
50
For more information, refer to the link given below:
brainly.com/question/2096984
Answer: your answer would be C. 50 customers Hope this helped :)
Step-by-step explanation:
Amelia is travelling back to the United States. Her light last 20 hours, if her flight is at 8:45 am on Tuesday 19 july determine what time she will be home ?
Answer:
she will be home at 5:45am the next day
Answer:
Wednesday 20 July 4:45 pm
Step-by-step explanation:
Key:
Flight = 8:45 am
Light last 20 Hour
Solution:
8:45 am to 11:45 am = 15 Hour
So Add 5 More hour = 4:45 pm
Therefore Amelia will be home on Wednesday 20 July 4:45 pm
(3^3+3^2)^2 step by step and explanation for 25 points
Answer:
1296
Step-by-step explanation:
[tex](3^3+3^2)^2[/tex]
( 3 * 3 * 3 + 3 * 3 )²
( 27 + 9 )²
( 36 )²
36 * 36
1296
Answer:
[tex](3 {}^{3} + {3}^{2} {)}^{2} [/tex]
[tex]((3 \times 3 \times 3) + (3 \times 3)) {}^{2} [/tex]
[tex](27 + 9 {)}^{2} [/tex]
[tex] {36}^{2} [/tex]
[tex]36 \times 36[/tex]
[tex]1296[/tex]
is my answer right? if not break the hard news and give me the right one
Answer:
Pretty sure you are correct.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
the y-intercept is where the line crosses on the y axis
the line crosses 4 on the y axis so that is your answer
Find the value of x. Round your answer to the nearest tenth.
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{12}{15}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{12}{15}[/tex] ) ≈ 36.9° ( to the nearest tenth )
How to find the derivative of an integral with bounds.
Answer:
The statement of the fundamental theorem of calculus shows the upper limit of the integral as exactly the variable of differentiation. Using the chain rule in combination with the fundamental theorem of calculus we may find derivatives of integrals for which one or the other limit of integration is a function of the variable of differentiation.
Step-by-step explanation:
During a winter storm, the temperature on the top of a
mountain changed an average of -2.5°C every hour
for 12 hours. At noon, the temperature was -5°C.
During the same time period, the temperature at the
bottom of the mountain changed at the rate of
temperature change on the top of the mountain.
What is the hourly rate of temperature change at the bottom of the mountain ?
Answer:
-2.5 degrees C every hour
Step-by-step explanation:
This is because it is the same rate as the rate at the top.
explain how the singular forms of morning, night, monday, and tuesday may be changed to the plural forms every-morning every-night every-monday and every-tuesday
Besides using the word "every" before the singular forms of the words above, they can also be changed to their plural forms by adding "s" behind them. For example "morning" becomes "mornings".
Other examples related to the words above are:
The Tuesdays in March are going to be very busy.The nights I spent on the voyage was blissful.See the link below for more about the Plural forms:
https://brainly.com/question/586494
Help please I don’t understand
Answer:
2. 2/3
3. 8
4. 6 3/4
5. 6 2/3
6. 3 1/2
7. 2 2/5
8. 6
9. 2 7/10
Step-by-step explanation:
Please find step-by-step explanation in my attached workings. Hope this helps.
48 minutes to 3 hours as ratio in its simplest form
Answer:
4 : 15
Step-by-step explanation:
The parts must be in the same units
3 hours = 3 × 60 = 180 minutes , then
48 minutes : 180 minutes ( divide both parts by 12 )
= 4 : 15 ← in simplest form
Need help, am confused
Answer:
C. 2.7 inches.Step-by-step explanation:
Missing value looks the same, but it's 0.7 ft. longer than 2 ft.
2 + 0.7 = 2.7Your answer is 2.7 (C).
Answer:
x = 2.5 ft. (first option)
Step-by-step explanation:
Apply Thales' Theorem
[tex]\frac{DC}{EB} =\frac{AC}{AB}[/tex]
[tex]EB=x[/tex]
[tex]\frac{10}{x} =\frac{8}{2}[/tex]
[tex]x=\frac{(10)(2)}{8} =\frac{20}{8}[/tex]
[tex]x=2.5[/tex]
Hope this helps
Need help worth 15 points
Answer:
6, 5
Step-by-step explanation:
x: 1 3 5 7 9
y: 6 18 30 42 54
1 x 6 = 6
3 x 6 = 18
5 x 6 = 30
7 x 6 = 42
9 x 6 =54
Hope it helps and have a great day! =D
~sunshine~
