The formular r= √A/P- 1 gives the interest rater that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Suppose you have 5425
to deposit into an account. Find the interest rate you would need to have $470 in the account at the end of the second year.
The interest rate is 29.43%
How to determine the interest rate?The given parameters are:
Amount, A = $470
Principal, P = $5425
The formula of rate is given as:
r= √A/P- 1
Substitute known values
r= √470/5425- 1
Evaluate the difference
r= √470/5424
Evaluate the quotient
r= √0.08665
Evaluate the exponent
r= 0.2943
Express as percentage
r = 29.43%
Hence, the interest rate is 29.43%
Read more about compound interest at:
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a line passes through the point (-4 , -5) and has a slope of -5/4. Write an equation in slope - intercept form of this line
Answer:
y=-5/4x-10
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
Please help me, there are 2 pictures because my screen does not fit it all, will award brainliest and extra 100 points if correct.
What does m equal?please help me.
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Actually Welcome to the Concept of the inequalities.
===> -7 + 45m - 35 < 9m - 11
===> 45m - 42 < 9m - 11
===> 45m - 9m < -11 + 42
==> 36m < 31
==> m < 31/36
hence the value of m < 31/36
Answer:
m = 31/36
Step-by-step explanation:
Hope this helps you.
WalMart offered a 15% discount off the regular price of a Ice Cream Maker. The amount of the discount is $5.00. What is the regular price of the Ice Cream Maker?
Answer:
$33.33
Step-by-step explanation:
We are told in the above :
WalMart offered a 15% discount off the regular price of a Ice Cream Maker.
The amount of the discount is $5.00.
The formula for Percentage Discount =
Discount/Original amount × 100
Original amount = x
Hence:
$5/x × 100 = 15%
= 5/x = 15/100
Cross Multiply
5 = 0.15 × x
5= 0.15x
x = 5/0.15
x = $33.33
Therefore, the regular price of the Ice Cream Maker is $33.33
When spinning a ten-number spinner (with numbers 1-10), what are the odds of the arrow landing on 8?
A line has a slope of 3/5. It passes through the points (1, 2) and ( k, 8). What is the value of k?
A. 7
B. 11
C. 8
D. 15
Answer:
B. 11
Step-by-step explanation:
Delta y over delta x
(8-2)/(k-1) = 3/5
6/(k-1) =3/5
6 = 3/5k - 3/5
6 3/5 = 3/5k
K = 11
Help me lol please and thank you
How many solutions are there to the equation below?
5x - 2 - 3x(1 + 2) = 2(2 + 3)
A. O
B. infinitely many
C. 1
Eddie has a cake. He eats 5/12 of the cake. Then he gives Donny 1/3 of the remaining cake. How much cake does Donny get?
Answer:
2 1/3
Step-by-step explanation:
Answer:
Donny would be getting 4/12 of the cake, 1/3 x 4 on both sides would bring it from 1/3 to 4/12 ^-^
Step-by-step explanation:
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3. What is the value of -44.4-7?
64
A.
B.
1
64
C.
1
64
D.
-64
Answer:
c im quessing though but i got -54.1 so i dont know
Step-by-step explanation:
answer asap thanks!!
Step-by-step explanation:
(5-\/5)²
25-10\/5+5
30-10\/5
Here, a=30 and b=-10
Can someone help and give me a step by step explanation please?!
9514 1404 393
Answer:
∠QSR = 78°∠SQR = 51°Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
__
Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2
help me pleaseeeeeeeeeeeeeeeee
Step-by-step explanation:
-d=0.8-1.5
-d=-0.7
d=0.7
Answer:
d=0.7
Step-by-step explanation:
1.5=d+0.8
d=1.5-0.8
d=0.7
bfnbhsvkisbvjdkbv jv ksnhvsdf vkdbsnjbv k
Answer:
41
Step-by-step explanation:
47-6=41
Find the area of a triangle with a base of 10 inches and a height of 5 inches
Answer:
area = 25 in^2
Step-by-step explanation:
area = 1/2(10)(5) = 25 in^2
Answer:
The height is 4 inches.For a triangle, we have Area = 1/2 base times height.
With a = area, b = base and h = height,
we have:
A=1/2bh
We are told that A=10 square inches and b=5 inches, so we need to solve (find h ) for:
10=1/2(5)h
We can get rid of the fraction by multiplying by 2 on both sides:
20=5h
Now divide noth sides by 5 (or multiply by 1/5 , to get
20/5=5h/5 so 4=h
The height is 4 inches.
Step-by-step explanation:
Hope it is helpful....
help i don't know what to do please help
I need help due in a Hour
50 yd
explanation:what is the distance between (0.-3) and (9.6)
Answer:
d = 12.7 when rounded to the nearest tenths
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (0, -3) and (9, 6)
d=√((9-0)²+(6-(-3))²)
d=√((9))²+(6+3))²)
d=√(81 + (9)²)
d = √162
d = 12.727...
d = 12.7 when rounded to the nearest tenths
15 points!!!! Find the value of x.
102
54
6x
O A. 8
B. 6
O C. 17
D. 9
Answer:
A. 8
Step-by-step explanation:
Given,
54° + 6x° = 102°
=> 6x = 102 - 54
=> 6x = 48
[tex] = > x = \frac{48}{6} [/tex]
=> x = 8(Ans)
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
One by third
Step-by-step explanation:
According to the figure the right angle triangle that was on left would be 3 times bigger than the right triangle that was on right. So here the dimension of the right triangle is one by third and equivalent to the dimension of the left triangle
the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.
what are the equalities of f(x)=loga(x)
A. f(1)=0
B. f(a)= 1
C. f(0)=0
D. f(1/a)=-1
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
For appropriate values of 'a', the log function has the following characteristics:
A: f(1) = 0B: f(a) = 1D: f(1/a) = -1Any log function will tend toward negative infinity as x tends to zero (for |a|>1).
some one help me with this the highlighted one is the problem
Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?
Answer:
Step-by-step explanation:
t/4+t/3=1
(3t+4t)/12=1
7t/12=1
7t=12
t=12/7
x=(12/7)hours
Answer:
1/4 + 1/3 = 1/x
Step-by-step explanation:
"Bethany can mow her family’s lawn in 4 hours."
In 1 hour, she does 1/4 of the job.
"Her brother Colin can mow the lawn in 3 hours."
In 1 hour, he does 1/3 of the job.
When they work together, in 1 hour they do 1/4 + 1/3 of the job.
When they work together, they can mow the lawn in x hours.
In 1 hour, they do 1/x of the job. This means that 1/4 + 1/3 must equal 1/x.
1/4 + 1/3 = 1/x
If the sphere shown above has a radius of 8 units, then what is the approximate volume of the sphere? (Use 3.14 for .)
Answer: 2144
Step-by-step explanation:
v = 4/3pir³
v = 4/3 (3.14) (8)³
v = 4/3 (3.14)(512)
v ≈ 2144
Answer:
2,143.57 cubit units.
Step-by-step explanation:
To find the volume of the sphere, use the formula given below.
Volume = 4/3π r³
Use this formula, the value given for the radius, and 3.14 for to find the volume.
Volume = 4/3π r³
~~ 4/3 (3.14) (8 units)³
~~ 2,143.57 cubic units
Therefore, the approximate volume of the sphere is 2,143.57 cubic units.
Identify and describe the error in the incorrect counselor's work.
Answer:
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Step-by-step explanation:
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Write in quadratic form
f(x)=(x+2)^2
find the quotient of 6y²-5y-56 and 2y-7.
help.
Answer:
i have made it in above picture
A plane takes off and climbs at a 10º angle. After flying over 12 miles of ground, what will the plane's altitude, h, be? Round to the nearest tenth of a mile.
=========================================================
Explanation:
A diagram is optional, but I find it helps sometimes. The diagram is shown below.
Opposite the 10 degree angle is h. So we consider h the opposite side.
The hypotenuse is 12. The hypotenuse is always opposite the 90 degree angle.
Apply the sine ratio to solve for h
sin(angle) = opposite/hypotenuse
sin(10) = h/12
12*sin(10) = h
h = 12*sin(10)
h = 2.08377813200317 which is approximate
h = 2.1 miles is the plane's altitude which is also approximate
Side note: 2.1 miles is equal to 11,088 feet (multiply by 5280 to convert from miles to feet).
Solve for x, 8+2/7x=12?Help?
Answer:
X= 14
Step-by-step explanation:
Answer:
Exact form X=1/14
Decimal form x=0.0714285