Suppose you invest 18,400.00 into an account earning an interest rate of 2.991% compounded continuously for 2 year(s) and thereafter earning an interest rate of 4.192%compounded yearly. How much money is in the account after 9 years?
[tex]~~~~~~ \stackrel{\textit{for the first 2 years}}{\textit{Continuously Compounding Interest Earned Amount}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$18400\\ r=rate\to 2.991\%\to \frac{2.991}{100}\dotfill &0.02991\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 18400e^{0.02991\cdot 2}\implies A = 18400e^{0.05982}\implies A\approx 19534.276[/tex]
now let's grab that amount and invest it for the remaining 7 years at 4.192% compounded.
[tex]~~~~~~ \stackrel{\textit{for the last 7 years}}{\textit{Compound Interest Earned Amount}}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$19534.276\\r=rate\to 4.192\%\to \frac{4.192}{100}\dotfill &0.04192\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly meaning once}\end{array}\dotfill &\\t=years\dotfill &7\end{cases}[/tex]
[tex]A=19534.276\left(1+\frac{0.04192}{1} \right)^{1\cdot 7}\implies \boxed{A\approx 26039.82}[/tex]
8 2/3 and 10 23/32 in its simplest form
A group of ten people includes six men and four women. If five of these people are randomly selected to fill out a questionnaire, how many different samples of five people are possible?
1.25 is closer to 1.04 or not ?
plz heelp
Answer:
Yes 1.25 is closer to 1.04
Step-by-step explanation:
Hope this helps!
Answer:
1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.
1.25 rounded:
1.30
1.04 rounded:
1.00
PLEASE HELP 10 POINTS✨
Write an equation for each problem. Use the variable M.
18) Five students are absent from math class today. If there are 22 students in math class today, how many students would there be if none were absent? =
19) Juan pays $22.05 more than Kim each month for his health club membership. Juan pays $59.95 each month. How much does Kim pay each month? =
Answer: 18) there are 27 students
i am new to this so i am sorry if i got this wrong
Step-by-step explan If there are 22 students add 22+5 and the anwser is 27
Please help me ASAP
Answer:
New points:
N: (4,-5)
X: (2,-3)
B: (-1,-4)
Step-by-step explanation:
Rotate about the origin (0,0) counter clockwise 90 degrees
The length of a rectangle is 3 in longer than its width.
If the perimeter of the rectangle is 42 in, find its area
Answer:
The first task in a word problem is to translate it into symbols.
First, give a name to each quantity:
Let w be the width of the rectangle
Notice the length = w+3
Let a be the area of the rectangle
Let p be the perimeter of the rectangle
Next, write down formulas relating the quantities
Step-by-step explanation:
a = w * (w+3)
p = 2w + 2(w+3)
We know p = 42, so
42 = 2w + 2(w+3)
im sure you know how to simplify and solve for w:
42 = 4w + 6
4w = 36
w = 9
now you’re ready to attack the area
a = w * (w+3) = 9 * (9+3)
can you take it from there?
find DEC
pls give through explanation
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,
⇛ Angle AEB = Angle DEC
⇛ 9x + 8° = 3x + 42°
⇛ 9x - 3x = 42° - 8°
⇛ 6x = 34°
⇛ x = (34/6)°
To find: Angle DEC = 3(
34/6 °) + 42° = 59° (Ans)
Dina and masha started out on a 12 mi bike path at the same time. when dina reached the end of the 12 mi, masha still had 4 mi left to bike. if dina's biking speed is 10 mph, find masha's biking speed. HELP NOWWW
Answer:
Dina took 12/8 = 3/2 hrs
So, if Masha's speed was x
3/2 x = 12-3
x = 6 mi/hr
Answer:
Step-by-step explanation:
Dina finished in a time of
12 mi / 10 mi/hr = 1.2 hr
Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph
Can someone please help me?
$120; Markup: 35%
What's the final price? pls show how u got the answer...
Answer: 162
Step-by-step explanation:
So you will need to find the Markup. The original cost is $120.
Divide the number by 100 is 1.2. $1.2 is 1% of the $120.Now times the number by 35. $1.2 x 35 is $42.Finally, add the number. 120 + 42 = 162.I hope this is the answer you are looking for.
100.000.000x30
Kaçtır?
Answer:
the answer is 3000000000
Can someone help please
Answer:
0.3 miles per hour
Step-by-step explanation:
Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3
Given ABCD, what is the measure of
Answer:
srry dude this isn't rly a quesiton
30 percent of a number is 48 what is 50 percent of the same number
0.3x = 48
So x is 48/0.3
Therefore, 0.5 times 48/0.3 is the answer
A store manager is marking down cameras from $300 to $150. What percentage is the discount?
Write your answer using a percent sign (%).
Answer:
the discount is 50% the previous price
i need help with 32
Answer: See the drawing below
Explanation:
The region to the left of x = -3 has f(x) > 0, aka f(x) is positive. This is due to the sign chart indicating this with a + sign. The same applies from the region between x = -3 and x = -2. The graph will show f(x) above the x axis for these two regions.
When -2 < x < 0, f(x) is now negative and below the x axis. It goes above the x axis for the interval 0 < x < 2. Then it dips back down below the x axis again once it passes x = 2.
The graph below visually summarizes everything talked about. Keep in mind that there are infinitely many ways to draw a graph like this. There's not enough info to pin down one exact answer.
Can someone please help me thank you
36 is the answer, hope this helps.
Choose the correct answers.
Jane Dilford gets a student rate of $30.00 a month for health Insurance. There is a $250 deductible, but no coinsurance
payment. She recently recelved treatment for a covered condition. The bill was $2,550.00 Jane's Insurance company
provided payment of 80% of the bill less the deductible.
What was the company's payment? $2,040 or $1,840
V
What was Jane's total cost (not including monthly premium)? $510 or 710
Answer:
1840 amd 710
Step-by-step explanation:
Give an example of a function.
example:
Input 9 9 4 5 and output: 3 -3 2 -2
give examples plz
I will make the brainliest.
Neeed helppppppppppppppppp
solve the equation 6= A/2 + 2
Answer:
A = 8
Step-by-step explanation:
A/2 + 2 = 6
subtract 2 from each side to get:
A/2 = 4
multiply each side by 2 to get:
A = 8
PLSSS I NEED HELP WITH MATH.
Answer:
Step-by-step explanation:
Natasha added 13/24 of the bag of soil more than Dina
Dina added 5/6 of the bag of soil
Natasha added 11/8 of the bag of soil
To solve this problem, we will subtract two fractions with unlike denominators.
to find the quantity of soil did Natasha add than Dina
= 11/8 - 5/6
LCM = 24
33/24 - 20/24
= 13/24
SORRY THAT ALL WHAT CAN I SLOVE
Add the polynomials (-4x^3 + x^2y - xy^2), (3x^3 - xy^2 + 5x^2y) and (7xy^2 + 3y^3)
Answer:
4x³+x²
Step-by-step explanation:
to I was awesome and u too go to north and u too go home with he sister or talk
Write the slope of the line passing through the two points: (7,8) and (0,5)
Answer:
3/7
Step-by-step explanation:
slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{5-8}{0-7}[/tex] = -3/-7 = 3/7
If XZ=8x-18 and RZ = 2x+5 find XR
Answer:
6x+23
Step-by-step explanation:
8x-18+2x+23
8x-2x+5+18
6x+23
Answer:
XR=19
Step-by-step explanation:
Since the entire thing of XZ equals 8x-18 and one side of the line equals 2x+5 we will need another half to get the entire thing.
8x-18=4x+10
4x=28
x=7
Now we have to plug the x in
2(7)+5
=19
Add.
45+3110
Enter the sum in the box as a mixed number in simplest form.
Answer:
3110+45=3155
Step-by-step explanation:
just add them to
Steve bicycles 3 mi to school everyday at 15 mph. If school starts at 8:30 am and he needs 15 min to lock his bike and get to his desk then what time should he leave his house
Answer:
8:03
Step-by-step explanation:
time=speedxdistance
t=1/15x3
t=3/15hr
t=.2hr
t=12 mins
plus 15 mins to lock up bike, 27 mins
27 mins before 8:30 is 8:03
pls mark branliest
What are the slope and y-intercept of the line?
slope = -170. y-intercept = 1020
Step-by-step explanation:
Let [tex]P_1(0, 1020)[/tex] and [tex]P_2(6, 0).[/tex] The slope can be calculated as
[tex]m = \dfrac{0 - 1020}{6 - 0} = -170\:\text{m/hr}[/tex]
So the equation can be written as
[tex]y = -170x + b[/tex]
To solve for b, let's use the values for P2:
[tex]0 = -170(6) + b \Rightarrow b = 1020[/tex]
Therefore,
[tex]y = -170x + 1020[/tex]
To find the y-intercept, let x = 0. then the y-intercept is
[tex]y = -170(0) + 1020[/tex]
or
[tex](0, 1020).[/tex]
A pound of fertilizer covers 39 square feet lawn.Vivian Bulgakov lawn measures 7072.7 square feet,How much fertilizer,to the nearest tenth of a pound does she need to buy?
Answer: 275835.5
because 7072.7 times 39
