Find the first six terms of the sequence.
a1 = -7, an = 4 • an-1
A) -7, -28, -112, -448, -1792, -7168
B) -28, -112, -448, -1792, -7168, -28,672
C) -7, -28, -24, -20, -16, -12
D) 0, 4, -28, -24, -20, -16
A person places $127 in an investment account earning an annual rate of 4.2%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years.
Answer: $248.68
Step-by-step explanation:
Given
Money compounded according to
[tex]\Rightarrow V=Pe^{rt}\\[/tex]
Here, P=$127
r=4.2%
t=16 years
[tex]\Rightarrow V=127e^{0.042\times 16}\\\\\Rightarrow V=127e^{0.672}=127\times 1.958\\\\\Rightarrow V=\$248.68[/tex]
Value after 16 years is $248.68
Answer: 248.69
Step-by-step explanation:
r= 4.2%
=0.042
r=4.2%=0.042
P= 127
P=127
t=16
t=16
V
=
P
e
r
t
V=Pe
rt
V
=
127
e
0.042
(
16
)
V=127e
0.042(16)
V
=
127
e
0.672
V=127e
0.672
V
=
248.685
≈
248.69
V=248.685≈248.69
2. Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.
Answer:
14.04
Step-by-step explanation: :)
Which graph best represents the equation y = -2x + 5?
Answer:
B) The top right choice.
Step-by-step explanation:
The graph of the equation y = - 2x + 5 is shown in figure.
Option 2 is true.
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation is,
⇒ y = - 2x + 5
Now,
Since, The equation is,
⇒ y = - 2x + 5
By comparing of the slope - intercept form of the equation of line,
y = mx + b we get;
⇒ Slope = - 2
And, The y - intercept = 5
So, The graph of the equation is passes through the point (0, 5) with slope - 2.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
You and a friend are racing each other to swim 500 meters. You complete 50 meters in 45 seconds. Your friend completes 150 meters in 2 minutes. Who won the race and by how much?? no links
Answer:
your friend by 50 seconds
Step-by-step explanation:
150 divided by 3 equals to 50 so you would also divide 120 minutes by 3 to get 40
You: 50 meters per 45 seconds
Friend: 50 meters in 40 seconds
50 times 10 equals 500 meters so we will multiply both number of seconds by 10
You:45*10=450
Friend: 40*10=400
450>400 so the friend swims the fastest
450-400= is 50 seconds
So the friend swims the fastest by 50 seconds
(b) If the median of the following data is 40, write down
the class where the median lies.
Answer:
maximum- median
80-50=30
If 50 students were surveyed, how many chose
chocolate?
V 20 students
If 80 students were surveyed, how many chose vanilla?
20 students
Answer:
If 50 students were surveyed, how many chose
chocolate?
20 students
If 80 students were surveyed, how many chose vanilla?
20 students
Step-by-step explanation:
what is the y intercept of y = 12 - 6x/4
Answer:
(0,12)
Step-by-step explanation:
Answer:
(0,12)
Step-by-step explanation:
Use y=mx+b to answer the equation
Which table of values represents a line with a slope of 4/3
Answer:
c
Step-by-step explanation:
have a good day :D
to find the slope you take two points and add the y values and divide it by the x values
so you take the points (0,-2) and (3,2)
the y values are -2and2
2+2=4
the x values are 0 and 3
0+3=0
4/3=4/3 so that table does represent an equation with a slope of 4/3
sorry if this doesnt make sense its hard to explain virtually
Question 5
6 pts
The lengths of the sides of a triangle are given. Determine if the side lengths create a right
triangle.
a) 3, 8, 10
b) 9, 40, 41
c) 12, 20, 16
Answer:
C is correct
Step-by-step explanation: c is correct great job
Will give brainiest to whoever figured this out
Answer:
your answer will be 0.0001042
Step-by-step explanation:
hope it helps
have a wonderful day
30 POINTS
I think i have it right this time
Answer:
your answer is b
Step-by-step explanation:
Find the height of the cone. Round your answer to the nearest whole number.
h
8 in.
Volume = 670 in 3
Answer:
3
Step-by-step explanation:
3.34in is ans and after rounding off we can get 3
what is the answer to:
(x^4/x)^4
explain how to write an equivalent expression using the distributive property 2(11+y)
Answer:
Sample Response: To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses. The products are 2(11) and 2(y). The equivalent expression is 22 + 2y
Step-by-step explanation:
you're welcome
what would my answer be?
what number can go into 42 and 21
Answer:
7
Step-by-step explanation:
Answer:
1,3,7,21 all of those are factors of 42 and 21.
They all can go
Step-by-step explanation:
Hope this helps
Please help (ITS FOR 10 POINTS) its all i have left plsssss
Answer:
i think d not 100% sure but good luck
Step-by-step explanation:
which is written in standard form ? A,B,C, or D
Answer:
c is in standard form
Step-by-step explanation: hoped I helped
Pls don’t send a link
in parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD
Answer:
Step-by-step explanation:
BC=AD
3x-1=x+5
3x-x=5+1
2x=6
x=3
BC=3×3-1=8
CD=2x=2×3=6
perimeter=2(8+6)=2(14)=28
In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What equation represents "there are 3 more girls than boys?"
A. G = B + 3
B. B = G + 3
C. 6B = 5G
D. 6G = 5B
Answer:
the answer is d
Step-by-step explanation:
I came to this answer with simple deduction and process of elimination.
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round your answer to the nearest tenth if necessary.
O
S
N
10
L
13
M
R
P
56
Q
is this right plz help
Answer:
yes you are correct :)
Step-by-step explanation:
An annual pass to an amusement
park costs $87.95 per person. If
the park makes $52,770 from these
sale of passes, which equation can
you use to find the total number of
annual passes purchased?
Answer:
87.95x = 52,770
600 annual passes were purchased
5(a+b), if a = -4, b= -2
HELP PLZ
Answer:=−10
Step-by-step explanation:
[tex]{ \rightarrow{ \sf{ \green{ \: \: \: 5(a + b)}}}} \\ \\ { \tt{ \blue{a = - 4}}} \\ { \tt{ \blue{b = - 2}}} \\ \\ { \dashrightarrow{ \sf{ \green{5( - 4 - 2)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{5 \times ( - 6)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{ - 30}}}}[/tex]
D Melissa takes the 10 30 from Christchurch. How long does she wait in Wellington? Hour minutes
Answer:
1:45 hours
Step-by-step explanation:
Given
See attachment for missing part of the question
Required
How long she waits in Wellington
From the question:
She takes the 10 30 from Christchurch
So:
[tex]Christchurch\ Depart = 10\ 30[/tex]
This implies that:
She has to wait until Wellington arrives at 11 15
So:
[tex]Wellington\ Arrives= 11\ 15[/tex]
So, the wait time is:
[tex]Wait\ time = Wellington\ Arrives - Christchurch\ depart[/tex]
[tex]Wait\ time = 11: 15 - 10: 30[/tex]
[tex]Wait\ time = 1:45\ hr[/tex]
what’s the answer? (picture)
what is the answer to this
Answer:
im going with c anyone else
Step-by-step explanation:
need help ASAP !!!
[tex] \sqrt{8745 \times 8745} [/tex]
Answer:
8745Step-by-step explanation:
Here,
[tex] \sqrt{8745 \times 8745} [/tex]
= 8745 (Ans)