Answer:
in 2019, $36 465.19
in 2021, $40 202.87
Step-by-step explanation:
2015 is $30 000 per year
if it is increased by 5% every year
then,
in 2019, her salary will be $30 000 x (1.05)^4 = $36 465.19
in 2021, her salary will be $30 000 x (1.05)^6 = $40 202.87
Convert the mixed numbers to improper fractions:1. 5 6/72. 8 3/9
3 in
3 in
Perimeter:
Area:
Step-by-step explanation:
The area = 3 × 3 = 9
The perimeter = 2(3 +3) = 12
please give me a brainliest answer
Answer:
A= a^2, which is 9.
P= 4a, which is 12.
Find the 11" term of the following geometric sequence.
5, 15, 45, 135, ...
Jane has nickles and quarters in her pocket. There are 20 coins, totaling $3
Answer:
It is 10 quarters and 10 nickels
10 x 25 = $2.50
10 x 5 = $0.50
2.50 + 0.50 = $3.00
***I hope this helps
Step-by-step explanation:
Simplify each of the following:
a. √5+2√6 + √5-2√6
b.(√p^2+1 - √p^2-1) (√p^2-1 + √p^2+1)
2√5 exact form
4.47213595 decimal form
What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?
Step-by-step explanation:
maybe this is not the full expression, as you wrote the line equation in a funny way.
I understand the following :
the line is
y = (-2/5)×x - 7
perpendicular means crossing at a right angle (90 degrees).
the slope of the original line is -2/5.
as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.
so, it is 5/2.
the equation for the perpendicular line looks like
y = (5/2)×x + b
now what is b ?
for this we use the specified point on the line : (4, -1)
and we put these values as x and y into the equation :
-1 = (5/2)×4 + b = 5×2 + b = 10 + b
b = -11
and so, the full equation of the perpendicular line is
y = (5/2)×x - 11
Help please, i just need help.
Answer:
Your answer is 28/9 or the last one.
Step-by-step explanation:
28/9 = 3.111111111111.......
Which tenths is 8.275 between
Answer:
8.3
Step-by-step explanation:
Help me I don't understand
Answer:
For first equation: it would be 5^2 which is 25 so 25 - 9 = 16 then 2(4 - 3) = 2 x 4-3 = 2 x 1 = 2 so 16 divided by 2 = 8
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
Answer:
1. reflection over y axis
2. dilation over the origin with scale factor of 3
Step-by-step explanation:
1. reflection about y axis
2. dilation over the origin (0,0) with scale factor of 3
A skyscraper has 49 floors there are 26 offices on each of the bottom 31 fours the top 18 floors each have 38 officers about how many officers are there in the sky scraper all together
Answer:
903 offices
Step-by-step explanation:
Total number of officers in the sky scraper
= 26 + 31 + [(49-2)×18]
= 26 + 31 + 846
= 903 offices
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
What is the slope of the line shown?
Answer:
m=-2/-1 or m=-2
Step-by-step explanation:
Find two points on the line, then use this formula: m=rise/run or m=y2-y1/x2-x1
m=0- 2/-3-(-2)
m=-2/-1 or m=-2
3. Due to leakage, 30% of the water was lost from a water tank. If
only 340 liters of water is left in the tank now, find the total
capacity of the water tank?
HELPP
Answer:
1133.3 liters of water after leakage.
Step-by-step explanation:
x*.30=340
x=340/.30
x=1133.33
The total capacity of the water tank is 1133.33 liters of water after leakage.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.
x*.30 = 340
x = 340/.30
x = 1133.33
Hence, the total capacity of the water tank is 1133.33
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
Which table was created using the equation y=5x-4
a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.
The area of a rectangle is the product of its dimensions
The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]
The area is given as:
[tex]\mathbf{Area = a^3 - 125}[/tex]
Express 125 as 5^3
[tex]\mathbf{Area = a^3 - 5^3}[/tex]
Apply difference of cubes
[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]
[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]
The area of a rectangle is:
[tex]\mathbf{Area = Length \times Width}[/tex]
So, by comparison:
[tex]\mathbf{Length = a -5}[/tex]
[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]
Read more about areas at:
https://brainly.com/question/3518080
75.3325 round to the tenth
factor the expression using the gcf 2t-10
( I’ll give you brainliest!!!) Find the length of the third side. If necessary, write in simplest radical form.
Answer:
The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2
I dont know the exact positions to put the lengths, but tell me if this helps!
5 litres into grams.
Step-by-step explanation:
Do like this only with no. mark me as brainliest answer
Answer:
Weight in Grams of:
Water Cooking Oil
5,000 g 4,400 g
Step-by-step explanation:
Hope this helps
when reporting descriptive data such as the mean, what additional information should also be reported that expresses how different the scores are in the distribution?
answer pls 8 + 40 ÷ (10 × 2)
Answer:
10
8+40÷20=8+2=10
,.,.......
How many minutes are there in 3-hours?
4
34
Answer:
180
Step-by-step explanation:
[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \:3 \: \frac{1}{4} \: \: hours \: = \: \frac{13}{4} \: hours\: \\ [/tex]
[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: \frac{13}{4} \: hours \: \: = \: 3.25 \: hours \\ [/tex]
[tex] \Large\begin{gathered} {\underline{\boxed{ \rm \: {\purple{1 \: hour \: = \: 60 \: minutes}}}}}\end{gathered}[/tex]
[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: 3.25 \: \times \: 60[/tex]
[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: \:{{ \large{ \orange{ \rm{{195 \: minutes}}}}}} [/tex]
b. Does a12 x a4 = a8 x a8 for all values of a? Explain.
Answer:
We can use the Laws of Exponent to rewrite both sides of the equation:
Let a¹² x a⁴ = a⁸ x a⁸
⇒ a¹²⁺⁴ = a⁸⁺⁸
a¹⁶ = a¹⁶ ✅
⇒ a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.
Explanation:
The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.
PLEASE HELP!!!
5. Which combination of segment lengths
can be used to construct a triangle?
A. 8 cm, 12 cm, 24 cm
B. 15 cm, 38 cm, 49 cm
C. 34 cm, 63 cm, 97 cm
D. 50 cm, 55 cm, 136 cm
Answer:
c
Step-by-step explanation:
At town has a population of 17000 and grows at 4% every year. What will be the population after 12 years, to the nearest whole number?
Answer:
25,160
Step-by-step explanation:
17,000 x 0.04 = 680
Town gains 680 people every year.
After 12 years, town will have 25,160 people.
This could also be wrong because it may be 4%+ the added people from the previous number. However, I think it is 25,160.
Help please
1. What equation is in this figure?
y + 1 = -2/3(x - 3)
y - 3 = 3/2(x + 1)
y + 2 = -3/2(x - 2)
y - 4 = -2/3(x + 2)
What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
ΔQDJ=Δ____
Answer:
GAP but if not that AGP
Step-by-step explanation:
Answer:
ΔQDJ ≅ GAPStep-by-step explanation:
Use the order of corresponding vertices.
Q and G, D and A, J and P are corresponding considering the marks on the lines.
ΔQDJ ≅ GAPGiven the following functions, find the indicated values,
f(x)= 1 - 5x
(a) f(-4) (b) f(0) (C) f(5)
(a) f( – 4)=0
Answer:
Riley restoration rotators
[tex]\frac{1}{1+\sqrt{2} } +\frac{1}{\sqrt{2} +\sqrt{3} } +...+\frac{1}{\sqrt{99} +\sqrt{100} }[/tex]
Answer:
9
Step-by-step explanation:
the given expression can be re-written:
[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]
then
[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]
