The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{Prt}{100}[/tex]
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,
[tex]P=83.42\times12\\P=1001.04[/tex]
The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,
[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]
The total total amount in his bank account after 3 years is,
[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]
Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
Learn more about the simple interest here;
https://brainly.com/question/2294792
Answer:
b.
$1,055.10
Step-by-step explanation:
right on edg 22
Sami opened an account with a deposit of $4,000. The bank pays 3.5% annual simple interest on this account Sami did not make any additional deposits or withdrawals. How long will it take for Sami to earn $2,100 in interest on this account?
Answer: 15 months
Step-by-step explanation:
How do you find the arc length of the partial circle?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times \dfrac{3 \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 6\pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 6\times 3.14 = 18.84 \: \: units\dfrac{ }{} \: \: [/tex]
So
Arc length
L=r[tex]\theta[/tex]L=4(3π/2)L=2(3π)L=6πL=18.8units4) Good Work Company charges by the word to run classified ads. This company charges $12 for
the first 15 words and $0.55 for each additional word.
a. How much would a 25-word classified ad cost?
b. How much would a 50-word classified ad cost?
Equation::
Rate of change=0.55$If words be x
Equation in slope intercept form
y=12+0.55x, x≥15So
#1
More words=25-15=10
Cost:-
y=12+0.55(10)=12+5.5=17.5$#2
Extra words=50-15=35
Cost:-
y=12+0.55(35)=12+19.25=29.25$Answer:
a. $17.50
b. $31.25
Step-by-step explanation:
a.
For $12 you get 15 words.
For a 25-word ad, you need 10 more words than the 15 you get for $12, so you must add 10 words at $0.55 per word.
cost = $12 + 10 × $0.55
cost = $12 + $5.5
cost = $17.50
b.
50 words is 25 words more than 25 words, so you must pay for 25 words more than the cost of the 25-word ad in part a.
cost = $17.50 + 25 × $0.55
cost = $17.50 + $13.75
cost = $31.25
What is the answer for this math problem?
Answer:
9 feet
Step-by-step explanation:
v = lwh (volume equals length times width times height)
75.6 = 4 x 2.1 x d
multiply l and w, which is 4 x 2.1
75.6 = 8.4 x d
divide 75.6 by 8.4
9 = d
Answer:
The value of j is 9feet
Step-by-step explanation:
[tex] \hookrightarrow \sf \: v = whl[/tex]
⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]
⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]
Step 1: Simplify both sides of the equation.
⇒[tex] \sf {75.6=8.4j}[/tex]
Step 2: Flip the equation.
⇒[tex] \sf {8.4j=75.6}[/tex]
Step 3: Divide both sides by 8.4.
⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]
⇒[tex] \sf {j=9}[/tex]
What can you take from 60 to make 20?
40.
60 - 20 = 40.
Very simple.
Transformation MATHS
anyone pls help me fond a solution to this ques
======================================================
Explanation:
Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).
To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).
In general the rule is [tex](x,y) \to (x,-y)[/tex]
---------------------
Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].
For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.
As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.
----------------------
Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).
We're given the point (g,h) where we don't know g nor h.
The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.
Then applying transformation W has us get to (-h, -g) as the final answer.
----------------------
As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.
Apply transformation W to go from (g,h) to (h,-g)Apply transformation V to go from (h,-g) to (h,g)The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.
However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.
Have you ever seen a photo online that did not seem to have the colors right? Perhaps the colors looked unnatural or not appropriate for the subject of the photo. Describe such a photo and what you think was wrong with it in terms of color. How did this photo with poor color values make you feel about the website it was on? How important do you think getting the color right is for images online?
Write three to five sentences that answer these questions. You should thoroughly explain every statement you make in your response. If possible, include a link to the photograph you are describing.
Answer:
Yes, I have before. The colors were pretty natural, but they didn't quite fit with the actual picture. It was a street with blue vintage contrast, and it had a rotting apple core. It was wrong because blue street didn't feel that normal and was an inaccurate portrayal because it didn't fit the apple core and all. The website actually was a website with "bad" photos, so I understood. I think it is very important to accurately convey meaning, tone, and much more.
The attachment cannot be uploaded because it isn't JPEG :(
Making late payments on credit card bills has what kind of effect on a person's credit score?
a
Late payments have a negative effect on a person's credit score.
b
Late payments have a positive effect on a person's credit score.
c
Late payments do not affect a person's credit score.
Answer:
A. Late payments have a negative effect on a person's credit score.
Step-by-step explanation:
Hope this Helps!
Answer:
A late payments have a negative effect on a persons credit score
Step-by-step explanation:
A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.
solve kx + 7 = 4 for x
Answer:
are we looking for x if we are its
Step-by-step explanation:
x= -3/k
Answer:
x = -3/k
Step-by-step explanation:
Solve kx+7=4 for x
kx+7=4
kx =4 - 7
kx = -3
I need this answered please
Answer:
37
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets put the values in now :)
35^2 + 12^2 = c^2
1225 + 144 = c^2
1369 = c^2
Now we need to find the square root!
[tex]\sqrt{1369}[/tex] = 37
Have a great day!!
Please rate and mark brainliest!!
Hey Buddy !
Question : -For the following right triangle , find the side length x .
Given : - Perpendicular = 12 Base = 35Hypotenuse = x To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .
Pythagoras Theorem : -According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .
[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseFrom Here Solution Starts : -Substituting the values in formula :
x² = 12² + 35²x² = 144 + 1225x² = 1369x = √1369x = 37[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]
#[tex] \rm{ \bold{Keep \: Learning}}[/tex]Find the area of the rug. DO NOT ROUND.
what is the area?
Answer:
28.26 ft²
Explanation:
[tex]\sf area \ of \ circle = \pi r^2[/tex]
Here given diameter: 6 ft
radius: d/2 = 6/2 = 3 ft
========
area of rug:
[tex]\dashrightarrow \ \pi (3)^2[/tex]
[tex]\dashrightarrow \ 9\pi[/tex]
[tex]\dashrightarrow \ 9(3.14)[/tex]
[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]
Answer:
[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]
Step-by-step explanation:
Step-1) Determine the radius of the rug:
Given diameter: 6 feet
⇒ [tex]\text{Diameter = 2(Radius)}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \frac{\text{Radius}}{2}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \text{Radius}[/tex]Substitute the diameter to obtain the radius of the rug.
⇒ [tex]\frac{6}{2} = \text{Radius}[/tex]⇒ [tex]\text{3 feet = Radius}[/tex]Step-2) Find the area of the rug by substituting the radius in the formula:
Area of circular rug = πr²
= [tex]\pi (3)^{2}[/tex]
= [tex]\pi (3)(3)[/tex]
= [tex]\pi(9)[/tex]
Substituting π as 3.14 (Stated in comments):
= [tex](3.14)9[/tex]
= [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]
fully explain why, in general, (a + b)^2 = a^2 +b^2.
No this is not correct identity
(a+b)²(a+b)(a+b)a(a+b)+b(a+b)a²+ab+ba+b²a²+2ab+b²Hence it's wrong
Answer:
Below!
Step-by-step explanation:
Let's simplify each side to determine if both sides are equal.
Left hand side of the equation:
Expression: (a + b)²This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².
⇒ a² + 2(a)(b) + b²When opening the parenthesis, we get;
⇒ a² + 2ab + b²This expression cannot be simplified further as there are no like terms in the expression obtained.
Right hand side of the equation:
Expression: a² + b²This expression cannot be simplified further as there are no like terms in the expression obtained.
Given equation:
(a + b)² = a² + b²This can be rewritten as;
a² + 2ab + b² = a² + b² (False)Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².
PLEASE HELP ILL GIVE BRAINLIEST
james bought a movie ticket for $4.05. he paid the movie ticket with quarters and dimes. if james used 18 coins in all, how many quarters (q) and dimes (d) did he use?
Answer:
15q + 3d
Step-by-step explanation:
15 quarters = 3.75
4.05 - 3.75 = 0.30
3 dimes = 0.30
sooo.
3.75 (15q) + 0.30 (3d) = 4.05
The point, (-4, 2) is a solution to the following system. y > 3x - 2 y ≥ 1 True False
Answer:
May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.
Determine whether these two triangles are similar, and if so what is the ratio of their sides?
Yes, ratio = 3/4
No, these triangles are not similar
Yes, ratio=3/8
Yes, ratio=4/5
Answer:
not similar
Step-by-step explanation:
4/3 = 1.3333...
10/8 = 1.25
The ratios are not equal, so the triangles are not similar.
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.Mavis packs the box with cubes, each 2cm by2cm by 2cm,with no space left over. How many cubes does Mavis fit into the box?
Given -
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.i.e, length = 2cm, breadth = 4cm and height = 6cm
Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.i.e, side = 2cm
To find -
the number of cubes that can be fit into the rectangular box.Concept -
To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,
Volume of Rectangular Box = l × b × h
Volume cube = a³
where,
l = length b = breadthh = heighta = sideSolution -
[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]
[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]
Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.
100 POINTS PLEASE HURRY
Answer:
5.80^3
first a price was decreased by 12% then it was discounted again by 5% what is the percent of the total discount. From RSM
x = original price or 100%
so if we discount "x" by 12%, that means the new price is 100% - 12% = 88%, let's see how much is 88% of "x"
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{88\% of x}}{\left( \cfrac{88}{100} \right)x}\implies 0.88x[/tex]
now if we grab that new price, or the new 100%, and discount it further by 5%, what's leftover is simply 95%, because we'll be taking off 5% off of it and thus left with 100% - 5% = 95%.
so what's 95% of 0.88x?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{95\% of 0.88x}}{\left( \cfrac{95}{100} \right)0.88x}\implies 0.836x[/tex]
so the new discounted price is just 0.836x or 83.6% of our original "x".
from 100% originally to 83.6%, the difference is 16.4%, and that's the total discount.
The elongation α
of a planet is the angle formed by the planet, earth, and sun. it is known that the distance from the sun to venus is 0.723au
(see exercise 65 in section 6.2 ). at a certain time the elongation of venus is found to be 39.4∘.
find the possible distances from the earth to venus at that time in astronomical units (au).
The distance from the earth to venus is an illustration of the sine ratio
The distance from the earth to venus at that time is 1.12 au
How to determine the possibe distance?See attachment for the diagram that illustrates the complete question.
Start by calculating the angle V using the following sine ratio
SE/sin(V) = VS/sin(E)
This gives
1/sin(V) = 0.723/sin(39.4)
Take the inverse of both sides
sin(V)/1 = sin(39.4)/0.723
Evaluate the quotient
sin(V) = 0.8779
Take the arcsin of both sides
V = 61.4
Calculate the measure of angle S
<S + <V + <E = 180
This gives
<S = - <V - <E + 180
Substitute known values
<S = -61.4 - 39.4 + 180
<S = 79.2
The distance (VE) is then calculated using the following sine ratio
VE/sin(S) = VS/sin(E)
This gives
VE/sin(79.2) = 0.723/sin(39.4)
Multiply bot sides by sin(79.2)
VE = sin(79.2) * 0.723/sin(39.4)
Evaluate the product
VE = 1.12
Hence, the distance from the earth to venus at that time is 1.12 au
Read more about sine ratios at:
https://brainly.com/question/2920412
If ABCD is dilated by a factor of }, the
coordinate of D' would be:
3 2
B
-2
2
3
10
D
D' = ([?], [ ]
Help please!
Please help! And show how u solve!
Find X
Answer: 36
Step-by-step explanation:
Find the area. HELP PLEASE!!!
IF ITS CORRECT I WILL GIVE YOU A BRAINLIEST.
Answer:
135
Step-by-step explanation:
Use formula b(h) which is 9x15 and get 135
Question below! :)
Brainliest!
Answer:
Point C, because it is the only place on the picture where the lines cross.
Answer:
point C
Step-by-step explanation:
That is the point where they intersect
help me please, please
The little square means a right angle which is equal to 90 degrees.
X + 30 = 90
X = 60 degrees
The smith family wants to fence their yard. the yard is 96 meters and 52 meters wide. how much fencing will they need?
This is 15 points for whoever answers.
Answer:
Y = 40
Step-by-step explanation:
First, find the slope-intercept of the table
Slope-intercept form: y = mx + b
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(3, 1) and (6,2)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3}x+b[/tex]
Find b using (6,2):
[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]
[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x[/tex]
What will be the value of Y when X = 120?
Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]
(120, 40)
Therefore, when X = 120, Y = 40
Hope this helps!
What is the total area, in square inches, of the shaded sections of the trapezoid below?
Answer:
64.5 in²
Explanation:
[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]
Solve for the entire trapezoid:
[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]
[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]
Solve for the unshaded rectangle:
Length * Width6.5 * 8.655.9 in²Area of the shaded region:
120.4 in² - 55.9 in²64.5 in²Should you use Sine, Cosine, or Tangent to solve the following problem?
Answer:
sine
.....................
In the figure below, m || n and t is a transversal line. If ∠7 = x +14 and ∠1 = 2x -8, what is ∠4?
∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 = 2x - 8
(if u need a specific number)
∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8
∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180
-> 3x + 6 = 180
x = (180-6)/3 = 58.
Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.
You are given the following system of equations: y:
- 13x + 85 and y = 15 + 4x . It is
known that this system of equations has two solutions. If the variable k represents the product of the two
×-values that satisfy the system, what is the value of k?
Answer:
70.
Step-by-step explanation:
1) to calculate the values of the 'x':
4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔
x₁=7; x₂=10;
2) to calculate the required k:
k=x₁*x₂; k=7*10=70.