Nevaeh invested $660 in an account paying an interest rate of 3% compounded
continuously. Jonathan invested $660 in an account paying an interest rate of 3 %
compounded monthly. After 14 years, how much more money would Nevaeh have in
her account than Jonathan, to the nearest dollar?
Answer:
19
Step-by-step explanation:
Rate 1: 3
4
1
%=3+1/4=
\,\,3.25\%\rightarrow 0.0325
3.25%→0.0325
\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=
Rate 2: 3
8
1
%=3+1/8=
\,\,3.125\%\rightarrow 0.03125
3.125%→0.03125
\text{Calculate Final Amount for Nevaeh}
Calculate Final Amount for Nevaeh
\overline{\phantom{\text{Calculate Final Amount for Nevaeh}}}
Calculate Final Amount for Nevaeh
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=660\hspace{35px}r=0.0325\hspace{35px}t=14
P=660r=0.0325t=14
Given values
A=660e^{0.0325(14)}
A=660e
0.0325(14)
Plug in
A=660e^{0.455}
A=660e
0.455
Multiply
A=1040.2744
A=1040.2744
Use calculator (with e button)
\text{Calculate Final Amount for Jonathan}
Calculate Final Amount for Jonathan
\overline{\phantom{\text{Calculate Final Amount for Jonathan}}}
Calculate Final Amount for Jonathan
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12
P=660r=0.03125t=14n=12
Given values
A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}
A=660(1+
12
0.03125
)
12(14)
Plug in values
A=660(1.0026042)^{168}
A=660(1.0026042)
168
Simplify
A=1021.6468
A=1021.6468
Use calculator
\text{How much more money Nevaeh has:}
How much more money Nevaeh has:
1040.2744-1021.6468
1040.2744−1021.6468
18.6276
18.6276
\$ 19
$19
−2(5d−9f)+7f−10(−9f−7d)
Answer:
38
Step-by-step explanation:
what is the solution of 6(a-5)-4a=4
Answer:
Hi! The answer to your question is a = 17
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
the segments shown below could form a triangle. True or false
Answer:
true
Step-by-step explanation:
true
Find angle B. What is angle B.
Answer:
B=45 Degrees
Step-by-step explanation:
You can use law of sines to answer. Law of Sines states that [tex]\frac{sin(a)}{A} =\frac{sin(b)}{B}[/tex]. That means that [tex]\frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}[/tex]. Multiplying 8 to both sides gives us [tex]\frac{8sin(60)}{4\sqrt{6} }=sin(b)[/tex]. By using inverse of sin, we get [tex]b = sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } )[/tex]. Plugging that into a calculator gives us b=45 degrees.
Miranda’s car travels 40 miles on 1 3/8 gallons of gas. Miranda wants to travel 80 miles. How many gallons of gas will her car use? Show your work.
Rose plans to have two children but doesn't know if they will be boy-boy, girl-girl, girl-boy, or boy-girl. What is the probability that she will have boy-girl? (1 point)
O 0.5
O 0.75
O 0.25
O 1.00
PLEASE HELP ME THANKS!
Answer:
i think it is B. x^ab, but i could be wrong
Step-by-step explanation:
pemdas so take
x^(a+b)
x^(ab)
x^ab
probably wrong
4-(6x1000)+99-490=
i need u guys help and thank you
Answer:
-6387
Step-by-step explanation:
I have a feeling you're just giving away points :)
3rd 9-Week Exam
Question: 1-1
Monica is using a coordinate plane to make a design in art class. She wants to reflect a line segment across the x-
axis as part of the design. The line segment has an endpoint at (-7,5) and is 5 units long. Which two ordered pairs
could be the coordinates of the endpoints of the reflection of the line segment?
Answer:
dgfrngssfrhrfhhkthgfgtuthrruyifrhtuturhfnfbhmxvdg4jfdd
Step-by-step explanation:
xdvbbffyeurudgdifhfjdchd8wixsigfir
Write 3 equivalent ratios for each ratio given.
6.25 to 1.25
Answer:
3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by:
[tex]\frac{a}{b}[/tex]
Finding equivalent ratios:
To find equivalent ratios, we multiply or divide both a and b by the same value.
6.25 to 1.25
[tex]\frac{6.25}{1.25}*\frac{10}{10} = \frac{6.25*10}{1.25*10} = \frac{62.5}{12.5}[/tex]
[tex]\frac{6.25}{1.25}*\frac{100}{100} = \frac{6.25*100}{1.25*100} = \frac{625}{125}[/tex]
[tex]\frac{\frac{6.25}{1.25}}{{\frac{1.25}{1.25}}} = 5[/tex]
3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]
WILL MARK BRAINLIEST PLS HELP ME
Answer:
c 480 square inches your welcome
find area,of the triangle
digits only. I counted the lines, 7 and 12 ÷2. and it was wrong
Answer:
33 units²
Step-by-step explanation:
1/2(11 x 6) = 33 units²
find x
help please, asap.
Answer: x = 110 degrees
Step-by-step explanation:
35 and its vertical angle inside the triangle both = 35 deg
43 and 32 add to 75 deg
The total degree measure inside a triangle is 180
180-75-35 = 70 deg
70 degrees is the supplementary angle of x
180-70 = x
x = 110 degrees
find the volume of the rectangular prism. geometry hw plz help
Answer:
189 cm^3
Step-by-step explanation:
7 times 9 times 3=189
Need help ASAP!!!!!!!
Answer:
4) 90-37 = 53°
5) Supplementary
6) 90-62 = 28°
Answer:
4. 53 degrees
5. Supplementary angles
6. 28 degrees
Step-by-step explanation:
4. Complementary angles equal 90 degrees. 90-37=53
6. Both are complementary angles. 90-62=28
A 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. How many containers of sugar will the 9 pound bag create? (sorry i forgot the 2/3 last time!)
Answer:
You would create 13 and a half containers of sugar from the 9 pound bag.
Step-by-step explanation:
You divide 9 by 2/3 and it would give you 13.5 which is 13 and a half containers of sugar.
The local hunt club wanted an estimate of how many deer were in their county. They captured, tagged, and released 75 deer. Then they captured 55 deer, of which 15 were tagged. How many deer are in their county?
HELP I NEED ANSWERS NOW
Answer:
I am not sure but I think it is c
Step-by-step explanation:
24:10 simplified Ratio HELP
Answer:
12:5 is the simplified ratio. Couldn't answer before but here lol
Find the surface area of the prism.
Please help
Answer:
The area of the prism is 54 ft.
Step-by-step explanation:
times 9 times 6 ft and ya get 56
but I don't know If whats you're looking for
Katie make $63.70 babysitting for 6.5 hours how much money does she make per hour
Answer:$9.8
Step-by-step explanation:
I divided 63.70 by 6.5 and got 9.8 I checked my workers by multiplying 9.8 and 6.5 to get me with 63.70
Can someone help? Please? Thanks:)
Read the procedural text.
Plain Taffy
3.5 lbs. white sugar
2 cups water
1 teaspoon cream of tartar
Put the sugar and water in a clean pan. Heat mixture over medium-high heat, stirring occasionally until melted. Continue heating to a slow boil.
Add the cream of tartar and put a lid on the pan. Allow mixture to boil in this way for ten minutes.
Remove the lid and immerse a candy thermometer in the boiling liquid. Boil to 310 degrees.
Quickly remove pan from heat and pour contents into oiled frames, tins, or onto a pouring slab.
Cut into bars or squares with a knife or taffy cutter while still warm.
Allow taffy to cool before eating. so the answer is A
send answer really need it
Answer:
DO U KNOW HOW TO GET MORE POINTS?
Step-by-step explanation:
Answer:
3/18 foot³
Step-by-step explanation:
okay, so the formula for volume is height x base, which is real confusing, but lets go:
first, you have to figure out the base, which is the surface that's on the bottom:
1/2 x 1/2 = 1/4
so you then multiply that by how high the figure is:
1/4 x 3/4 = 3/16
So your answer is option D. 3/18 cubic foot
hope this helps:)
14
23
22.7
Find the perimeter
Emily ha 6 pounds of grapes. She splits the grapes into smaller 1/3 pound bunches. How many bunches of grapes can she make ?
Answer:
2
Step-by-step explanation:
2 because 6 multipled by 1/3 is 2 and 2 multipled 3 is 6
If the measure lf 2 is 83, what is the measure of 3?
Answer: 97
Step-by-step explanation:
2 and 3 form a supplementary angel, so the sum of the angles should equal 180
Find the tangent of angel U.
Answer:
C
trust me that is my answer
4 times a number minus 8.5 is at most 11.5.
Hi there! :)
Answer:
4/7 times 35, minus 8.5 is no more than 11.5
The number is : 35
Step-by-step explanation:
Let's replace "a number" by the letter "x" because that's what we are looking for.
4/7 × x = 4/7x
4/7x MINUS 8.5 = 4/7x - 8.5
The expression "no more than" is represented by this sign: ≤
"No more than" can also be "less than or equal to".
The final inequality should look like this:
4/7x - 8.5 ≤ 11.5
Now all you need to do is solve the inequality by isolating "x":
4/7x - 8.5 ≤ 11.5
Add 8.5 to each side of the inequality → 11.5 + 8.5 = 20
4/7x ≤ 20
Divide each side of the inequality by "4/7" → 20 ÷ 4/7 = 35
x ≤ 35
There you go! I really hope this helped if there's anything just let me know! :)
what is the mode for the following numbers 67 76 67 76 67 23 32 23 32
Answer:
67.
Step-by-step explanation:
67 appeared three times while everything else appeared only twice.