Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened at the bank. Determine whether each statement below is true. Select True or False for each statement.
V(0) = 2 means that the value of the bank account when it is opened is $2000
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000
V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening
Answer:
True false false
Step-by-step explanation:
The following statements can be considered true or false as the case may be as follows;
V(0) = 2 means that the value of the bank account when it is opened is$2000 --TRUEV(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000 --FALSEV(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening --TRUEDiscussion:
The function takes the form;
V(t) = Value of account.Ultimately,
Statement 1 is true; Statement 2 is false; andStatement 3 is true.Read more:
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(6p+4)+(-5p+8)
Plz i need help
Answer:
p+12
Step-by-step explanation:
I'm assuming you want me to simplify this equation. Okay, first, we eliminate the redundant parenthesis. Now, we have 6p+4+-5p+8, we can simplify this to 6p+4-5p+8 because adding a negative has the same effect as subtraction. Now, we combine like terms (6p and -5p, and 4 and 8). From this, we have 1p+12 (4+8=12, and 6p-5p=1p, or just p). We can simplify this even more to get p+12. I hope this helps!
My mum is 29 and my dad is 36.What is thr difference in their ages
Answer:
7
Step-by-step explanation:
differnece = subtraction
36-29 = 7
Hope this helps plz hit the crown :D
Answer:
seven
Step-by-step explanation:
36 - 29 = 7
unless their birthday months are something like:
mom - 3rd of may
father - 8 of november
then technically it's 6 years and a few months but it's not that deep haha
do two lines that intersect make 4 right angles
Answer:
if they are perpendicular
Answer:
Yes
Step-by-step explanation:
Two lines that intersect each other can intersect each of perpendicularly, which forms 4 right angles.
I hope this helps!
(Please help fast I have like 20 minutes to answer the question )
Answer:
2/3 / 1/6
4/6 / 1/6
1/6 can go into 4/6 4 times. the answer is C; 4
Step-by-step explanation:
Michael’s home is 12 feet below sea level and his mother’s home is 12 feet above sea level. Michael says their homes are at opposite elevations because they are in opposite directions. Is he correct? Explain.
Answer:
Yes he is correct because -12 and 12 are the opposite.
Step-by-step explanation:
Answer:
He is correct because the numbers are in opposite directions on the number line, and their distances from 0 on the vertical number line are equal
Which one should I choose
Answer:
C. 10x^2
Step-by-step explanation:
ALL I NEED IS #9 PLS
Answer:
x=24
Step-by-step explanation:
x/6=4
4*6=x
x=24
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
O
-5
+
4
-4
+
5
-3
-2
-1
0
1
2
3
+
-4
+
-3
+
-1
-5
+
1
+
2
-2
O
3
4.
5
.
O
+
+
o
-3
+
-1
+
1
-2
+
2
+
3
+
4
-4
-5
+
5
O
O
6
-5
-4
-3
-2
-1
0
1
2
3
4
5
The inequality equation is x > 3 and the graph is plotted
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30 (Distributive property)
Adding 30 and 12x on both sides , we get
24 + 30 < 6x + 12x
On further simplification , we get
54 < 18x
Divide by 18 on both sides , we get
x > 3
Hence , the inequality is x > 3
To learn more about inequality equations click :
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Find cos(a) in the triangle.
Answer:
cos(α) = 24/25.
Step-by-step explanation:
First of all, we'll find the answer just using the fact that ABC is a right triangle in C. So, by the definition of cosine:
[tex]\cos(\alpha) = \dfrac{AC}{AB}\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]
Now, we'll solve the question with another approach. By the Law of Cosines in the triangle ABC:
[tex]BC^2 = AB^2+AC^2-2\cdot AB\cdot AC\cos(\alpha)\\\\7^2 = 25^2+24^2-2\cdot 25\cdot 24\cos(\alpha)\\\\49 = 625+576-1200\cos(\alpha)\\\\1200\cos(\alpha)=1152\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]
What is the slope of the line through the points (-4,6) and (-3,-1)
Which factor is least likely to affect the results and interpretation of a functional MRI?
A. cancerous growth
B. prescription medication
C. a sinus infection
D. caffeinated soda
Answer:
Cancerous growth
Step-by-step explanation:
For example, a tumor would be found in MRIs and will have a significant impact on the results and interpretation of a functional MRI. A tumor that is cancerously growing is very crucial to the function of an MRI
I hope this helps
The functional MRI also known as fMRI monitors brain anatomy activity
The factor that is least likely to affect the results and interpretation of a
functional MRI is; C. A sinus infection.
Reasons:
MRI stands for magnetic resonance imaging, and it is used to generate
images of the interior of items, such as the human body, without opening
the body, by producing strong magnetic fields, from the built in powerful
magnets.
The parts of the body that are examined by an MRI scan includes, the
internal organs, blood vessels, brain, and spinal cord.
The MRI scan works by tracking radio signals sent by protons in the body
which vary based on the type of tissue.
Due to the requirement for the patient to remain stationary during the
scan, medication may be given. It is also important to not take caffeinated
drinks prior to the examination.
A functional MRI is used to monitor the functioning of the brain's anatomy,
by blood flow change detection.
Therefore, the factor that is least likely to affect the result and
interpretation of a functional MRI is a sinus infection which is the
inflammation of the sinus lining and mucus presence, that rarely cause
neurologic complications.
Learn more here:
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question
question
questionhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
= a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
What is the answer to this?
Answer:THE ANSWER IS C HOPE THIS HELPS ANY
Step-by-step explanation:
F=P(1+r)^t solve for p
Answer:
the answer is P= F/(1+r)^t
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Write an equation for the parabola that passes through (1,12) and has vertex (10,-4)
Answer:
y + 4 = (16/81)(x - 10)
Step-by-step explanation:
The general formula for a parabola passing through (x, y) and with vertex (h, k) is y - k = a(x - h)^2.
Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:
12 + 4 = a(1 - 10)^2, or
16 = 81a
Then a = 16/81, and the desired parabola is
y + 4 = (16/81)(x - 10)
Lashonda is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
The game costs $9
Step-by-step explanation:
I wrote an equation using the variable "t" for the total cost of the game.
6=2/3t
t=6/2/3
t=(6/1)(3/2)
t=18/2
t=9
Help me out here pleaseeeeeeee
Answer:
12
Step-by-step explanation:
No. of planters = 4 ÷ [tex]\frac{1}{3}[/tex]
To change the ÷ sign to a × sign, swap the denominators and numerators of the second fraction.
4 ÷ [tex]\frac{1}{3}[/tex] = 4 × [tex]\frac{3}{1}[/tex]
Directly multiply.
4 × [tex]\frac{3}{1}[/tex] = 12
PLEASE HELP ME I NEED AN ANSWER FAST PLEASE THANK YOU
Answer:
your answer will be $29.
1 LB= $4
4 Oz = $1
PLSS help me with this and show your work
hii
3x-1/5=x+1/3
3[3x-1]=5[x+1]
9x-3=5x+5
9x-5x=5-3
4x=2
x=2/4
x=1/2
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
Answer:
X=1/2
Step-by-step explanation:
x=2/4
x=1/2
write an equation for the line passing through the points (3,-6) and (-9,-6) y=mx+b format.
Answer:
y=-6
Step-by-step explanation:
First, find the slope of the two coordinates using the slope formula:
Slope formula: y2-y1/x2-x1
Plug the numbers into the formula and solve:
-6--6/-9-3 = 0
Now,use the slope and one of the coordinates to put the line in point-slope form
Point slope: y-y1=m(x-x1)
y+6=0(x-3)
Simplify
y+6=0-0
y=-6
Math question angles
Answer:
m∠1 = 52°
m∠2 = 38°
Step-by-step explanation:
x + 33 + 2x = 90
3x = 57
x = 19
m∠1 = 19 + 33 = 52°
m∠2 = 2 ( 19 ) = 38°
Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below
Answer:
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]3^{-3}\cdot 8^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]
[tex]=\frac{1}{24^3}[/tex]
Thus,
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Help pleaseeee cxxxcxx
Answer:
no. I'm pretty sure it's not
How can 85% be broken down with friendly percents to find 85% of a number?
Answer:
it would be C
Step-by-step explanation:
5(10%)+25%
Answer: options:
2(25%) + 3(10%)
3(25%) + 10%
5(10%) + 25%
4(10%) + 2(25%)
b. the answer is 3(25%)+ 10%
Step-by-step explanation:
hope this helps!
How far above ground is the flag pole in inches? Round to nearest inch if needed
Answer:
Step-by-step explanation:
You'll use similar triangles to solve this. Set up 2 ratios as a proportion. First, however, you have to convert the 15 inches to feet. If everything else is in feet, then EVERYTHING has to be in feet. 15 inches is equal to 1.25 feet. Now for the equation:
[tex]\frac{3}{x} =\frac{1.25}{6}[/tex]
The first fraction is made up of the heights, 3 being the height of the plumb bob and x being our unknown height of the flagpole; the second fraction is made up of the distances on the ground. Cross multiply to solve:
1.25x = 18 so
x = 14.4 feet, or 14 feet, 4.8 inches
a squirrel burrowed 12 holes in 3 minutes how many holes could the squirrel burrow in 12 minutes
Answer:
12 x 3 = 36
Step-by-step explanation:
So it’s 36
Answer:
48 holes
Step-by-step explanation:
find the unit rate, 12 holes in 3 minutes means 4 holes in 1 minute. to find how many holes in 12 minutes, multiply 4 by 12, you will get 48.
State the operations used to solve the following equation. 2x + 8 = 9
A
Subtract 8 from both sides, divide by 2 on both sides.
B.
Add 8 to both sides, multiply by 2 on both sides.
С
Divide by 2 on both sides, subtract 8 from both sides.
D
Subtract 9 from both sides, divide by 9 on both sides.
Answer:
a
Step-by-step explanation:
Find the missing measurement. Use 3.14 for it.*
Radius: 6 mm
Diameter: 12 mm
Area: A=
18.84 mm squared
37.68 mm squared
113.04 mm squared
452.16 mm squared
Answer:
452.16 mm squared is a correct answer.
Sure!
;):);):):):):):):):)
GIVEING BRAINLIST PLZ HELP On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 3 = -4
-7 - 4 = -3
-7 - 3 = -10
-7 + 4 = -3
Answer:
c
Step-by-step explanation: