Answer:
4 years
Step-by-step explanation:
Given data
Principal P=$5000
Rate r= 7.5%
Final amount A=$6500
The expression for the simple interest is
A=P(1+rt)
Substitute
6500=5000(1+0.075*t)
6500=5000+375t
6500-5000=375t
1500=375t
t= 1500/375
t= 4 years
Hence, the time is 4 years
Matteo has &400 in his saving account. On average he spends $10 per week on buying apps. Luca has $200 in his savings account. He is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answer: By the 8th week.
Step-by-step explanation:
Let the time that matteo and luca have the same amount of money be represented by x.
The information given in the question can be formed into an equation as:
400 - 10x = 200 + 15x
Collect like terms
400 - 200 = 15x + 10x
200 = 25x
x = 200/25
x = 8
Matteo and Luca will have the same amount of money by the 8th week.
b) John returns from holiday with these notes.
Note
Number
of notes
The exchange rate is £1 = $1.29.
$50
5
Work out how much he will get in total
when he changes these notes.
$20
2
$10
7
$5
3
14)
Sub Answer
acer
Answer:
£290.70
Step-by-step explanation:
Number of notes of $50 = 5
Total value = 50 × 5 = $250
Number of notes of $20 = 2
Total value = 20 × 2 = $40
Number of notes of $10 = 7
Total value = 10 × 7 = $70
Number of notes of $5 = 3
Total value = 5 × 3 = $15
Total value of all notes with John = 250 + 40 + 70 + 15
= $375
Since, $1.29 = £1
Therefore, $1 = £[tex]\frac{1}{1.29}[/tex]
Therefore, $375 = £ [tex]\frac{375}{1.29}[/tex]
= £290.70
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
18 Which expression shows a "7" as a coefficient? Select ALL that apply.
A 2x-7
B 7(x + 9)
C 7x + 8y
D 3x7
E 7 + 5x
F 4x - 7y
Answer:
B,F, C
Step-by-step explanation:
I belive this because a coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
A rectangle's length is three times its breadth x metres. Write an expression
for the rectangle's:
a) perimeter
b) area
Answer:
1. Perimeter = 8x m
2. Area = 3x² m²
Step-by-step explanation:
From the question given above, the following data were obtained:
Breadth (B) = x m
Length (L) = 3B = 3x m
Perimeter (P) =?
Area(A) =?
1. Determination of the perimeter of the rectangle.
Breadth (B) = x m
Length (L) = 3x m
Perimeter (P) =?
P = 2(L + B)
P = 2(3x + x)
P = 2(4x)
P = 8x m
Thus, the perimeter of the rectangle is 8x m
2. Determination of the area of the rectangle.
Breadth (B) = x m
Length (L) = 3x m
Area(A) =?
A = L × B
A = 3x × x
A = 3x² m²
Thus, the area of the rectangle is 3x² m²
I need the answer very fast plz hurry
Answer:
2x=110 degree
2y=70 degree
874 x 12 - 1,000 · 4³ = ? ajutatima pls
Answer:
-53512
Step-by-step explanation:
874 x 12 - 1,000 · 4³ (We do exponents 1st)
874 x 12 - 1000 x 64 (Multiply 874 with 12, and 1000 with 64)
10488 - 64000
-53512
Ginny paid $4.16 for a sandwich. She paid$0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.11
Step-by-step explanation:
4.16 + 0.95 = 5.11
If -3.5 <-3, why is 1-3.5 > 1-31?
Answer:
3rd option
Step-by-step explanation:
The absolute value function always gives a positive value , that is
| - a | = | a | = a
Then
| - 3.5 | = 3.5 and | - 3 | = 3
and 3.5 > 3
That is | - 3.5 | > | - 3 |
Would someone mind explaining the Point-Slope form to me? My virtual teacher kind of brushed over it and I am a little confused as to how I should copy it down in my notes so I understand.
Answer:
This picture kind of sums it up
Step-by-step explanation:
Which of the following is NOT a linear function?
y=x
y=5
y=-3x-5
y=x^2+6
To visit his grandmother, Michael takes a motorcycle 3.853.853, point, 85 kilometers and a horse 3.323.323, point, 32 kilometers. In total, the journey takes 50.5450.5450, point, 54 minutes. How many kilometers is Michael's journey in total?
Answer:
7.17 km
Step-by-step explanation:
Given that:
Distance in kilometers traveled by motorcycle = 3.85 km
Distance in kilometers traveled by horse = 3.32 km
Total distance of journey in kilometers /
3.85 km + 3.32 km
= 7.17 kilometers
what is the coefficient of 7x+13
Answer:
7
Step-by-step explanation:
This is because any number combind with a variable will be considered a coefficient, for example in the equation 4x-13, 4 is the coefficient.
Solve the equation. Select all that apply.
Answer:
ll
Step-by-step explanation:
square root of 121 is 11 since 11x11=121
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?
Answer:
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Step-by-step explanation:
We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:
[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)
Where:
[tex]T(x,y)[/tex] - Translation vector.
[tex]A(x,y)[/tex] - Location of the center of the circle A.
[tex]B(x,y)[/tex] - Location of the center of the circle B.
If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:
[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]
[tex]T(x,y) = (2,4)[/tex]
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Answer:
Step-by-step explanation:D
PLZ HELP!!!! solve for x
Answer:
64 degrees
Step-by-step explanation:
Combining the 90 degrees, x degrees, and 26 degrees creates a flat angle or 180 degrees
so first, combine 90 and 26 degrees
90+26= 116
then subtract 116 from 180
180-116= 64 degrees
Please answer the following:
Answer:
Conner's work is correct
Jana's work is incorrect
Step-by-step explanation:
Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.
Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, start text, space, c, m, end text. What is the area AAA of the circular cross section of this pipe?
Answer:
314.2 cm²
Step-by-step explanation:
The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm
So, A = πd²/4
substituting the value of d into the equation, we have
A = π(20 cm)²/4
A = π400 cm²/4
A = 100π cm²
A = 314.16 cm²
A ≅ 314.2 cm²
Answer:
100pi
Step-by-step explanation:
I need help please and thank you ( umm 10 points i think ). thank u
Answer:
D
Step-by-step explanation:
since it tells you y is=1 plug that into the top equation
-1=5x+4
-1=x
and you already have y=-1
so its(-1,-1)
this is simple
since y = -1
y = 5x + 4
-1 = 5x + 4
5x = -5
x = -1
therefore answer is (-1, -1)
Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.
Answer:
1 2/3
Step-by-step explanation:
7 1/2x2/9
The required number of tiles will be 34 covering the length of the entryway.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.
We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.
According to the given question, the required solution would be as:
So the number of tiles covering the length of the entryway will be
⇒ 7 1/2 ÷ (2/9)
⇒ 15/2 ÷ (2/9)
⇒ 15/2 / (2/9)
Reciprocal the term in the denominator
⇒ (15/2) x (9/2)
Apply the multiplication operation,
⇒ 135/4
Apply the division operation,
⇒ 34
Thus, the required number of tiles will be 34 covering the length of the entryway.
Learn more about Multiplication operations here:
brainly.com/question/25834626
#SPJ5
PLS HELP ILL MARK BRAINLIEST THANK U
Answer:
9,11,16. 4,6,7. 6,8,12
Right. Acute. obtuse
Step-by-step explanation:
obtuse 9,11,16
acute 4,6,7
obtuse 6,8,12
A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%
Answer: 20%, 17%, 29%, 1.5%
Step-by-step explanation:
Given
The likelihood of rain is given by the inequality
[tex]s<30[/tex] i.e. solution to this inequality is less than 30%
So, among the given values, the following are the solution
20%, 17%, 29%, 1.5%
These values are less than 30%; therefore, they are the solution
Answer:
20%, 17%, 29 1/2%, and 1.5%.
Step-by-step explanation:
good luck on your other work
The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in gas from last week to this week?
Answer:
.12%
Step-by-step explanation
2.61-2.49= 0.12
.12%
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
Find the value of x. Write your answer in simplest form.
Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
identify each group of segments that can form a right triangle (double check for me please)
Answer:
Looks good except D should also be clicked.
Step-by-step explanation: 6 squared is 36 and 8 squared is 64. 36+64=100 and 10 squared is 100.
No need for an explanation it is option
Answer:
II) 78
Step-by-step explanation:
2x - 6 + 7x + 15 = 90
9x + 9 = 90
9x = 81
x = 9
<ABC:
7x + 15
7(9) + 15
78
Answer and Step-by-step explanation:
To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.
2x - 6 + 7x + 15 = 90
Combine like terms.
9x + 9 = 90
Subtract 9 from both sides.
9x = 81
Divide both sides by 9.
x = 9
We get x to be 9.
Now, we can plug this in for angle ABC.
7(9) + 15
Multiply 7 and 9 together.
63 + 15
Add 63 and 15 together.
78
The measure of ABC is 78.
That means the answer is II) 78.
#teamtrees #PAW (Plant And Water)
Write the equation of a line in slope-intercept form with a slope of 10 and passes through (–4, – 25).
Answer:
y = 10x + 15
Step-by-step explanation:
y +25 = 10(x+4)
y = 10x + 40 - 25
y = 10x + 15
what is 15 less than or equal to -5x
Answer:
less than tell me if i'm wrong
