Answer:
11.5 years
Step-by-step explanation:
Given data
Principal= $400
Rate= 6%
For the compound interest at time t, the expression is given as
A= P(1+r)^t
Substitute
A= 400(1+0.06)^t
A=400(1.06)^t
B. How much money is in Jennifer's account after 5 years
put t= 5
A=400(1.06)^5
A=400*1.338
A=$535.2
C. Approximately when will Jennifer have $800 in her account
A=$800
P=$400
r=6%
t= ln(A/P)/r
t= ln(800/400)/0.06
t= ln(2)/0.06
t= 0.6931/0.06
t=11.551
Hence the time is about 11.5 years
Estimate a 15% tip on a dinner bill of $61.75 by first rounding the bill amount to the nearest ten dollars. What’s the estimated tip?
Answer:
Tip = $9
Step-by-step explanation:
Bill amount to nearest ten dollars = $60
[tex]tip = 15\% of 60 = \frac{15}{100} \times 60 = 9[/tex]
what is the area of the base of the cone below?
a) 2.4 ft^2
b) 4 ft^2
c) 22.5 ft^2
d) 26 ft^2
Answer:
[tex] \frac{1}{3} \times 12 \times area = 90 \\ area = 90 \div 4 = 22.5[/tex]
Helo again answer for me
Answer:
The left side
182
does not equal to the right side
450
, which means that the given statement is false.
False
Step-by-step explanation:
mark as brainliest!!
Answer= 268
Reason:-
Let The Missing Number be x
x+308-126=450
x+182= 450
x=450-182
x=268
Hope This Helps You ❤️********Mathematics********
Answer:
m=-1and c=3
m=-2c=-3
m=5c=-2
m=3andc=-2
Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers. What is the greatest number of bags Lucia can make
Answer:
The greatest number of bags Lucia can make = 16
Each of the 16 bags will contain 4 stickers and 3 markers
Step-by-step explanation:
Markers = 48
Stickers = 64
What is the greatest number of bags Lucia can make?
Find the highest common factor of 48 and 64
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
64 = 1, 2, 4, 8, 16, 32 and 64
The highest common factor of 48 and 64 is 16
The greatest number of bags Lucia can make = 16
Stickers = 64/16
= 4 stickers per bag
Markers = 48/16
= 3 markers per bag
Each of the 16 bags will contain 4 stickers and 3 markers
Compute the mean score of these students The following data set are the quiz scores for 14 students. . 76,66,55,80,80,72,97,70,80,72,88,50,63,76
Answer:
73.214285714285714285714285714286 (or 73 rounded down)
Step-by-step explanation:
76, 66, 55, 80, 80, 72, 97, 70, 80, 72, 88, 50, 63, 76
76 + 66 + 55 + 80 + 80 + 72 + 97 + 70 + 80 + 72 + 88 + 50 + 63 + 76 = 1025
1025/14 = 73.214285714285714285714285714286
73.214285714285714285714285714286 ≅ 73
Answer:
73.2
Step-by-step explanation:
76+66+55+80+80+72+97+70+80+72+88+50+63+76 =1025
Mean = 1025/14
= 73.2
Solve for x algebraically -3x > -18
Answer:
x < 6
Step-by-step explanation:
-3x > -18
Divide both sides by -3. (Remember to flip the > to <)
x < 6
Order the number from least to greatest 1/3,0.3,2/3 and 2/5
what difference is there please tell me in a mathematical way
hii i have to retake this test and i have no idea if im getting this right, can someone help me out please????
here is the question:
The volume of this cylinder is approximately 12,468.94 cubic feet.
The radius is ___ feet.
Use ≈ 3.14.
image is also pasted
Answer:
radius = 19 ft
Step-by-step explanation:
volume of a cylinder: r²πh
12468.94 = r²π × 11
=> r² = 12468.94 ÷ 11π
=> r² = 361
=> r = 19
Answer:
r=19
Step-by-step explanation:
[tex]12468.94 = (3.14) {r}^{2} (11) \\ \frac{12468.94}{34.54} = \frac{34.54 {r}^{2} }{34.54} \\ \sqrt{361} = \sqrt{ {r}^{2} } \\ 19 = r[/tex]
John deposits Rs 25 000 in a bank which pays simple interest at the rate of 9% per year. after how many years will he earn an interest of Rs 6750?
I = 6750
P= 25000
r = 9% = 0.09
t=?
I= prt
6750 = 25000×0.09× t
t = 6750/25000"0.09 = 3
Answer - 3 years.
Work out the height of this triangle with base,
b = 8mm
and area,
A= 218.8mm2.
Answer:
54.7
Step-by-step explanation:
can someone help please
Answer:
- 3.21
Step-by-step explanation:
The bear moves closer, so Rick decides to go to the other side of the lake. Since there is a forest, he can only spotpoint A when angle C measures 50'. What trigonometric function would Rick
use to find AB if he knows the measure of BC ?
Answer:
Tangent
Step-by-step explanation:
Given
[tex]\angle C = 50[/tex]
See attachment for complete question
Required
Function to calculate BC
If AB is known, BC is calculated as:
[tex]\tan(C) = \frac{AB}{BC}[/tex]
Substitute d for AB and 50 for C
[tex]\tan(50) = \frac{d}{BC}[/tex]
Make BC the subject
[tex]BC = d * \tan(50)[/tex]
Hence, BC can be found using tangent
Jean walks forward 80 feet to his mailbox. He then walks the 80 feet
back. Does Jean end up back where he started?
Answer:
yes
Step-by-step explanation:
Help plz i will give brainliest!!!!!
Answer:
{3,4,5,7,9,10,13,17}
Step-by-step explanation:
The U means union and that means join sets A and B together
A U B
{3,4,5,7,9,10,13,17}
i was arguing with this guy in dahood yesterday and he said "i f'd ur dog to death how that make u feel".
Answer:
that something very disgusting to even say wdf
Step-by-step explanation:
What is the answer to this?
Answer:
35.4
is the answer to this question
There are 2 bags of cat food to be shared equally between 9 kittens. What fraction of a bag will each kitten eat?
Answer: 2×9=18
Step-by-step explanation:
Answer:
the fractio will be
[tex] \frac{2}{9} for \: each[/tex]
Complete the equation of this circle:
А
(x - [ ? ])2+(y - [ ])2= [ ]
equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,
so in first box - h
in second box - k
after equal to box = r²
Answer:
The answers that would be put into the question box's are: 3, 2, and 16:
(x - 3)^2 + (y - 2)^2 = 16 :)
Hope this helps
Can someone help with this
Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the coordinates of the center of the circle, and r is the radius squared. Our center is located at (-6, -4) and from the center to the outer edge is 2 units, so the radius is 2-squaraed, which is 4. That makes the equation for this circle
[tex](x-(-6))^2+(y-(-4))^2=4[/tex] which simplifies to
[tex](x+6)^2+(y+4)^2=4[/tex]
find the slope of the line that passes through (23,-3) and (81,91)
Answer: m = 94 / 58 = 47 / 29 = 1.62069
Step-by-step explanation:
Answer:
47/29
Step-by-step explanation:
To find the slope between two points
m = ( y2-y1)/(x2-x1)
= ( 91- -3)/(81 - 23)
= ( 91+3)/(81 - 23)
= 94/58
= 47/29
A parallelogram has a base of 9 km and a height of 5 km.
Answer:
Area= b*h
9*5=45km^2Step-by-step explanation:
Find the volume of the rectangular prism. 4.5 cm 2.5 cm 3 cm
Answer:
33.75 [tex]cm^{2}[/tex]
Step-by-step explanation:
The formula for a rectangular prism is [tex]l*w*h[/tex] where l is the length, w is width, and h is height. So, to solve plug in the given sides to get, 2.5*3*4.5. This equals 33.75 [tex]cm^{2}[/tex].
Please help with this question
Answer:
56t
Step-by-step explanation:
A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!
Answer:
V≈ 863.27 in³
Step-by-step explanation:
Please help, I’ll give brainliest as soon as I can! I need an answer quick
Step-by-step explanation: 0-9-8+xyz
Two complex numbers are represented by c + d[tex]i[/tex] and e-f[tex]i[/tex] , where c, d, e, and f are positive real numbers. In what two quadrants may the product of these complex numbers lie? Explain your answer in complete sentences.
Answers: First Quadrant and Fourth Quadrant
======================================================
Explanation:
Let
w = c + diz = e - fibe the two complex numbers.
Multiply them out to see what we get
[tex]w*z = (c+di)(e-fi)\\\\w*z = c(e-fi)+di(e-fi)\\\\w*z = ce-cf*i+de*i-df*i^2\\\\w*z = ce-cf*i+de*i-df*(-1)\\\\w*z = ce-cf*i+de*i+df\\\\w*z = (ce+df)+(-cf+de)*i\\\\[/tex]
The result we get is in the form a+bi where
a = ce+df = real partb = -cf+de = imaginary partRecall that any complex number of the form a+bi can be plotted on the xy plane with 'a' being treated as the x coordinate and b as the y coordinate. In short, the location of a+bi is at the point (a,b)
With c,d,e,f being positive, this means ce and df are positive, and a = ce+df is also positive.
This places the result of wz in either the first or fourth quadrants (the northeast or southeast quadrants respectively), due to the positive x coordinate.
We don't have enough info to determine whether b = -cf+de is positive or not. So that's why we can't nail down the precise quadrant of wz
If b > 0, then wz is in quadrant 1
If b < 0, then wz is in quadrant 4
An equation of the line passing through the points (4,3) and (-1,1)
A = ( 4 , 3 ) ..**&**.. B = ( - 1 , 1 )
_____________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 1 - 3 ] ÷ [ - 1 - 4 ]
Slope = [ - 2 ] ÷ [ - 5 ]
Slope = 2/5
______________________________
y - y(0) = Slope × ( x - x(0) )
y - y(A) = Slope × ( x - x(A) )
y - 3 = 2/5 × ( x - 4 )
y - 3 = 2/5 x - 8/5
y = 2/5 x - 8/5 + 3
y = 2/5 x - 8/5 + 15/5
y = 2/5 x + 7/5
what is the perimeter?
P = 8 + 10 + 8 + 10
P = 36
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