Răspuns:
292,50
Explicație pas cu pas:
Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17
Suma principală depusă, P = 250
Suma totală, A după 1 an poate fi calculată astfel:
A = P (1 + rt)
Unde ; r = rata dobânzii; t = timp
A = 250 (1 + (0,17 * 1))
A = 250 (1,17)
A = 292,5
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Please help!! It’s for an extra credit assignment.
Answer:
C = 65
Step-by-step explanation:
...........................
What is the constant in the
expression below?
15 – 4b
A
B
С
Answer:
15 is the constant
Step-by-step explanation:
Does not have a variable next to it which means it remains a constant
what is the vertex of y=-x^2+12x-31?????
[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]
Vertex Form[tex]y = a{(x - h)}^{2} + k [/tex]
Where the a-term determines how wide, narrow, upward or downward the graph is.
The h-term determines the horizontal shift of graph. (x-axis)
The k-term determines the vertical shift of graph. (y-axis)
The vertex of graph is at (h,k). We can find the vertex by using the given formulas.
Find the vertexFrom the equation, the coefficients are:
[tex] \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}[/tex]
Substitute these values in the formulas.
Find the value of h
[tex]h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6[/tex]
Hence, the value of h is 6.
Find the value of k
[tex]k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5[/tex]
Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form
Rewrite the equation of vertex form by substituting the value of h and k[tex]y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5[/tex]
AnswerSince the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:
[tex] \large{(h, k)=(6, 5)}[/tex]
(6,5) is the vertex.
Jane has saved $48 of her allowance money to buy books. If she buys 6 books at "d" dollars per book, she will have $48 -6d of her allowance left. How much does she have left if the books cost $2.50 each?
Answer:
She would have $33 left.
Step-by-step explanation:
First input the $2.50 into the "d" variable and multiply 6 by 2.50.
48−(6)(2.5)
Then, subtract 48 by 15.
48−15
Finally, you have your answer.
33
please help me =
solve 7+x/3 = 2x-5
Answer:
x = [tex]\frac{22}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{7+x}{3}[/tex] = 2x - 5 ( multiply both sides by 3 to clear the fraction )
7 + x = 3(2x - 5) ← distribute
7 + x = 6x - 15 ( subtract x from both sides )
7 = 5x - 15 ( add 15 to both sides )
22 = 5x ( divide both sides by 5 )
[tex]\frac{22}{5}[/tex] = x ( x = 4.4 )
What are all the different forms to write √2 (square root of two)?
what is the slope of -7,2 and -7,4
Answer:
The slope is undefined
Step-by-step explanation:
We can find the slope using
m = ( y2-y1)/( x2-x1)
= (4-2)/( -7 - -7)
= (4-2)/( -7 +7)
= 2 / 0
When we divide by 0, the result is undefined
The slope is undefined
Answer:
Undefined
Step-by-step explanation:
Since there is two points we can use (-7,2) and (-7,4) to find the slope
Slope formula for two points:
y2-y1/x2-x1
4-2/-7+7
Which is
2/0
Since 2/0 is not possible the answer will be undefined
Hope this helps!
Please helppppp I’m almost done with itttt
The answer is [tex]\frac{5}{10}[/tex]
And that is correct
Answer:
5/10
Step-by-step explanation:
can be reduced to 1/2 or 0.5
NEED HELP ASAP!!
Lisa and Cory are having a debate about gravitation. Lisa says that the astronauts in that international Space Station (which is a distance of about 6800 km from Earth’s center) are too far away from Earth to experience Earth’s gravitational pull, and that is why they float. Cory insists that Lisa is incorrect. Which of them is correct in their statement, and why?
Answer:
Only Cory is correct
Step-by-step explanation:
The gravitational pull of the Earth on a person or object is given by Newton's law of gravitation as follows;
[tex]F =G\times \dfrac{M \cdot m}{r^{2}}[/tex]
Where;
G = The universal gravitational constant
M = The mass of one object
m = The mass of the other object
r = The distance between the centers of the two objects
For the gravitational pull of the Earth on a person, when the person is standing on the Earth's surface, r = R = The radius of the Earth ≈ 6,371 km
Therefore, for an astronaut in the international Space Station, r = 6,800 km
The ratio of the gravitational pull on the surface of the Earth, F₁, and the gravitational pull on an astronaut at the international space station, F₂, is therefore given as follows;
[tex]\dfrac{F_1}{F_2} = \dfrac{ \dfrac{M \cdot m}{R^{2}}}{\dfrac{M \cdot m}{r^{2}}} = \dfrac{r^2}{R^2} = \dfrac{(6,800 \ km)^2}{(6,371 \ km)^2} \approx 1.14[/tex]
∴ F₁ ≈ 1.14 × F₂
F₂ ≈ 0.8778 × F₁
Therefore, the gravitational pull on the astronaut by virtue of the distance from the center of the Earth, F₂ is approximately 88% of the gravitational pull on a person of similar mass on Earth
However, the International Space Station is moving in its orbit around the Earth at an orbiting speed enough to prevent the Space Station from falling to the Earth such that the Space Station falls around the Earth because of the curved shape of the gravitational attraction, such that the astronaut are constantly falling (similar to falling from height) and appear not to experience gravity
Therefore, Cory is correct, the astronauts in the International Space Station, 6,800 km from the Earth's center, are not too far to experience gravity.
Work out m and c for the line:
y=6x−1
Which graph represents a proportional relationship (savvas)
4.3x - 8.1 + 0.2x -17.5
Answer:
4.5x-25.6
Step-by-step explanation:
Hey there!
4.3x – 8.1 + 0.2x – 17.5
COMBINE your LIKE TERMS
(4.3x + 0.2x) + (–8.1 – 17.5)
4.3x + 0.2x = 4.5x
–8.1 – 17.5 = –25.6
Answer: 4.5x – 25.6 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I need 954x66.76 plz 5min til due
954 * 66.76 = 63689.04
1) Divide £10 into the ratio 2 : 3
Answer:
£4 and £6
Step-by-step explanation:
Let the common multiplier of the given ratios be x.
So, 2x and 3x are the two parts of £10.
Hence,
2x + 3x = 10
5x = 10
x = 10/5
x = 2
2x = 2*2 = 4
3x = 3*2 = 6
Hence, the two parts of £10 are £4 and £6.
Find the product. (2f – 1)^2 =
Answer: 4f^2 -4f+1
Step-by-step explanation:
2f-1)^2
This is equal to
(2f-1) * (2f-1)
FOIL
first: 2f*2f = 4f^2
outer: 2f*-1 = -2f
inner: -1*2f = -2f
Last = -1*-1 = 1
Add them together: = 4f^2 -2f-2f+1
Combine like terms 4f^2 -4f+1
Answer:
(2f-1)(2f-1)
2f^2-2f-2f+1
2f^2-4f+1
find the slope of the line
Answer:
Number 7 is 3/4 and 8 is 4/-3
Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run
which of the following is not a type of angle
a acute
b obtuse
c parallel
d right
Answer:
parallel
Step-by-step explanation:
parallel describes lines
the answer is C
Step-by-step explanation:
parallel is not a type of angle
Sally’s dance school had 60 students last year. This year there are only 48 students enrolled. By what percent did the enrollment decrease?
Answer:
-20%
My brain is weird on how i figure it out but I divided 48 by 60 and got .80 so i just got the other whole to make it 1 so it is 20%. This is not the correct way to do this but this is how i got my answer.
1. A café menu has the following choices of cheese and toppings for scrambled
eggs
Scrambled Eggs
Cheeses and Toppings
Cheeses Toppings
Cheddar Bacon
Swiss Mushrooms
Onions
Tomatoes
Which list shows all the different combinations of 1 cheese and 1 topping
that could be used with scrambled eggs?
Answer:
the top answer in your picture is the right answer
Step-by-step explanation:
SOLVE RIGHT NOW PLEASE. Determine the solution to the system of equations below by using the ELIMINATION METHOD.
6x+5y=39
3x+5y=27
Answer: x=4 and y=3
Step-by-step explanation:
We start eliminating the same numbers with the same variable. So we take out 5y on both equation. We then subract 3x to 6x and we do the same to the right side. We end up having 3x=12 and then we divide 12/3=4. We plug 4 on the x values in one of the equation to find out the y value on that equation. You end up with y=3 and then plug that in the same equation on both to see if its right. Finally after that its correct.
i need to find the 9th term of this sequence
9514 1404 393
Answer:
26,244
Step-by-step explanation:
The sequence is geometric with a common ratio of -3. The general term is ...
an = (a1)r^(n-1)
The first term is 4, so we have ...
an = 4·(-3)^(n-1)
For n=9, we find the 9th term to be ...
a9 = 4·(-3)^(9-1) = 4·3^8
a9 = 26,244
_____
Additional comment
When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.
Evaluate sin(36°), round your answer to four decimal places.
Answer:
[tex]sin(36^{\circ})=\approx 0.5878[/tex]
Step-by-step explanation:
We are given that
[tex]sin(36^{\circ)[/tex]
We have to find the value of [tex]sin(36^{\circ)[/tex]
To find the value of [tex]sin(36^{\circ)[/tex] we will use table of sin
From sin table
We get
[tex]sin(36^{\circ})[/tex]
=0.587785
We have to round off the answer to four decimal places
Therefore,
[tex]sin(36^{\circ})=\approx 0.5878[/tex]
4. Answer the question below using complete sentences. * Rae made a table of x and y values. The relationship between the x and the y values in Rae's table is not a function. One of the values of x is missing from Rae's table, as shown. What is a value of x that Rae could use to complete her table to show that the relationship between x and y is not a function? explain your answer
Answer:
Any of x = {-3, 5, -1, 0}Step-by-step explanation:
Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.
x = -3, 5, -1, 0This will result in repeat of x-values with different corresponding y-values.
An eye doctor charges an exam fee, plus a charge for the number of boxes of contact lenses purchased.
Lindsey had an exam and ordered 2 boxes of contact lenses for $112.97
Josh had an exam and ordered 6 boxes of contact lenses for $272.93
How much is the exam fee?
A$32.99
B$39.99
C$45.49
D$56.49
Answer:
to get the exam fee
$112•97 ÷ 2
45•49
$272•93 ÷ 3
56•49
Find the slope of the line that passes through K(-4,4), L(5,4)
Answer:
The slope is 0, or it is a zero slope.
Step-by-step explanation:
The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.
what is the answer to this question
Answer:
it would be c. 5 1/4
Step-by-step explanation:
1. Which of the following numbers is both an integer and a whole number?
-2/5
5/4
-50
43
Answer:
43 a whole number and a whole number
Step-by-step explanation:
Z-12=4
what is Z worth?
Answer:
Z=16
Step-by-step explanation:
just add 12 to both sides so you are left with only Z on one side
Answer:
=16
Step-by-step explanation:
Simplifying
z + -12 = 4
Reorder the terms:
-12 + z = 4
Solving
-12 + z = 4
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + z = 4 + 12
Combine like terms: -12 + 12 = 0
0 + z = 4 + 12
z = 4 + 12
Combine like terms: 4 + 12 = 16
z = 16
Simplifying
z = 16
what is the length of side a round to the nearest tenth of an inch.
Answer:
14.4
Step-by-step explanation:
We can use the pythagorean theorem (a^2 + b^2 = c^2, c being the longest length) to solve this answer.
16^2 - 7^2 = a
256 - 49 = 207.
the square root of 207 is 14.3874...
Rounding to the nearest tenth makes the answer 14.4