Answer:
id say a
Step-by-step explanation:
The amount of interest his account should earn after 15 years is:
$7, 915.64.
Here, we have,
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days
Let, A= x
Now, x =$4,500(1+7/100×365)^(365×15)
x=$12415.64
i.e. final amount = $12415.64
so, the amount of interest his account should earn after 15 years is:
$12415.64 - 4500 = $7, 915.64
Hence, the amount of interest his account should earn after 15 years is: $7, 915.64
To learn more on Compound interest click:
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A regular polygon with exterior angle of 45° is redrawn using a scale 1 : 5. If the actual length of the sides of the regular polygon is 10cm, calculate the perimeter of the scale drawing of the regular polygon.
Answer:
16 cm
Step-by-step explanation:
"regular polygon" means all sides and angles are the same.
the sum of all exterior angles must be 360 degrees.
so, how often do 45 fit into 360 ?
2 times in 90, which in turn fit 4 times into 360, so 8 times.
the polygon has 8 corners and 8 sides.
each side is originally 10cm
so the original perimeter is 8×10 = 80 cm
now, every side is reduced to 1/5th of the original size, this also reduces the perimeter by the same factor.
=> perimeter = 80×(1/5) = 80/5 = 16 x cm
control :
applying the scaling factor of 1/5th to every side transforms every side from 10 cm to 2 cm.
we still have 8 sides.
perimeter = 8 × 2 = 16 cm
correct
A regular pentagon ABCDE is shown.
A
חי
B
X
Work out the size of angle x.
nothing is shown as far as I can tell
edit: but the inner angles of a regular pentagon should always be 120°. maybe it helps
Step-by-step explanation:
can see any photo concerning the angle
The Hogwarts Express train has reduced its one-way fare from 360 galleons to just 270 galleons. What is the percentage decrease in the fare? *
=======================================================
Work Shown:
A = old value = 360
B = new value = 270
C = percent change
C = (B-A)/A
C = (270-360)/360
C = -90/360
C = -0.25
C = -25%
The negative C value indicates we have a percent decrease.
Note how 25% of 360 = 0.25*360 = 90, meaning that the price has dropped by 90 galleons. And also note that 360-270 = 90 is that same figure of 90. This helps confirm the answer.
pls pls help
Perform the indicated operations.
a) 7a/20b
b) 7ab/20
c) 7/20ab
Answer:
it's a) 7a/20b
Step-by-step explanation:
[tex]5( \frac{a + 2}{4b} ) - 2( \frac{a - 1}{10b} ) + 4( \frac{a - 3}{5b} ) \\ \\ \frac{5a + 10 - 2a + 2 + 4a - 12}{20b } \\ \\ \\ \frac{7a}{20b} [/tex]
Answer:
A
Step-by-step explanation:
ik that the answer
a) 9 to the power of minus 1 over 2 (9^-1/2)
b) 27 to the power of minus 2 over 3 (27^-2/3)
Step-by-step explanation:
a) 9^-½
= (1/9)^½
= (√1)/(√9)
= 1/3
=0.333....
b). 27^-⅔
= (1/27)^⅔
=(³√1)²/(³√27)²
=1/9
=0.111.....
=
Answer both for brainly pro
what's the answer? will give brainliest
Answer:
It's 1,3
Step-by-step explanation:
Coordinate plane and x is 1 and y is 3
Answer:
(1,3)
Step-by-step explanation:
The spot where both lines intersect is the solution to the system of equations.
Hope that this helps!
I need help with this question
Answer:
1/3 = 56/168
5/8 = 105/168
4/7 = 96/168
Step-by-step explanation:
the simplest approach to common denominator is by just multiplying all different denominators:
3 × 8 × 7 = 168
3 and 7 are prime numbers (no other whole number factors are a part of them).
8 has sub-factors : 4 and 2
but we cannot build any multiplication products with them and 3 and 7 that is then divisible by 8.
so, actually, 168 is the smallest common denominator.
so, to bring every fraction to a 168 denominator, we need to calculate the scaling factor between the original fraction denominator and the new one.
for 1/3 we have therefore to calculate 168/3 = 56
for 5/8 we have to calculate 168/8 = 21
for 4/7 we have to calculate 168/7 = 24
and so
1/3 = 1×56/168 = 56/168
5/8 = 5×21/168 = 105/168
4/7 = 4×24/168 = 96/168
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=58
Step-by-step explanation:
Answer:
x=26 degree
Step-by-step explanation:
x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)
x+154=180
x=180-154
x=26 degree
therefore the value of x is 26 degree.
SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
y =
Answer:
y = 6·sin(3·(x - 1)) + c
Step-by-step explanation:
The general form of an equation for a sinusoidal function is presented ad follows;
y = a·sin(b·(x - h) + c
Where;
a = The amplitude of the equation
T = The period = 2·π/b
h = The phase shift
c = The vertical shift
From the question, we have;
a = 6,
2·π/3 = 2·π/b
∴ b = 3
h = 1
We get;
y = 6·sin(3·(x - 1)) + c.
How many four digit numbers cannot be divided by 5?
Answer:
7200
Step-by-step explanation:
Since the first digit cannot be zero,
there are 9*10*10*10 = 9000 4-digit numbers.
Each of these with a last digit not equal 5 or 0 is not divisible by 5.
Therefore, there are 8 choices of last digit
9*10*10*8 = 7200
if x = -3 , calculate the numerical value of :
step by step
-x^2 +4x +10
Answer:
-10
Step-by-step explanation:
-x^2 + 4x + 10
substitute the value of x
-(-3)^2 + 4*-3 + 10
-9 + (-12) + 10
-9 - 12 + 10
-20 + 10
-10
Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of square A is 900 sq cm.
Answer:
The side of square A is 30 cm.
Step-by-step explanation:
Given that,
The dimensions of square A are three times the dimensions of square B.
The area of square A is 900 sq cm.
Side of square A = 3( side of square B)
Let the side of square B is b. So,
Side of square A, a = 3b
We know that, the area of square is side². So,
[tex](3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm[/tex]
Side of square A, a = 3(10) = 30 cm
Hence, the side of square A is 30 cm.
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
Triangle PQR has vertices P(-2, 6), Q(-8, 4) and R(1, -2). It is translated according to the rule (x, y)—> (x, - 2, y -16).
What is the y-value of P’?
a. -18
b. -16
c. -12
d. -10
===============================================
To find this answer, you apply the given translation rule to the coordinates of point P(-2,6)
[tex](x,y) \to (x-2, y-16)\\\\(-2,6) \to (-2-2, 6-16)\\\\(-2,6) \to (-4, -10)\\\\[/tex]
We see that point P' has a y coordinate of -10
This translation, aka shifting, rule moved point P 2 units to the left and 16 units down.
Answer:last one D ( -10)
Step-by-step explanation:
edg
What solid 3D object is produced by rotating the triangle about line m? ANSWER ASAP. TROLL AND LINK ANSWERS REPORTED. WILL AWARD BRAINLIEST.
Answer:
A cone with diameter 6 units
Step-by-step explanation:
Rotating the triangle about line m will give us a cone with radius 3
If the radius is 3, the diameter is 2*r = 2*3 = 6
Answer:
Step-by-step explanation:
a cone with a radius of 5
Which inequality is shown in the graph?
Answer:
answer is D.Y=>X^2-3
Step-by-step explanation:
use desmos . com and go to graphing calculator. plug formula in.
Answer:
b
Step-by-step explanation:
okidoki
Please help will give branliest
What is the correct answer?
Help will be appreciated, thanks!☺️
Solve.
3(x + 1) - 2x = -6
0)
A)
X=1
B)
X = 5
9
X = -7
D)
x = -9
Answer:
D: [tex]x=-9[/tex]
Step-by-step explanation:
[tex]3(x + 1) - 2x = -6[/tex]
[tex]3x+3-2x=-6[/tex]
[tex]-3[/tex] [tex]-3[/tex]
[tex]3x-2x=-9[/tex]
[tex]1x=-9[/tex]
[tex]/1[/tex] [tex]/1[/tex]
[tex]x=-9[/tex]
Hope this helps!
Find the surface area of the prism
Show all the work
I'll mark you brainiest
Answer:
I dont see the question oh nvm
Step-by-step explanation:
Smising, pharming and phishing are three security threats that can occur when using the internet
for shopping. When the user types in a URL they are directed to a fake website. *
A ) Phishing
B ) Pharming
c ) Smishing
Answer:
B ) Pharming
Step-by-step explanation:
When the user types in a URL they are directed to a fake website this is known as Pharming. This is one of many cyber attacks and usually occurs from a virus that has found it's way into your personal computer or server. The harmful virus basically waits until you open your internet browser and type in a URL to a specific website. Instead of taking you to that correct website it will take you to a replica site which will send all the information that you input, back to the creator of the virus. This is done so that they can obtain all of your personal information including bank details.
help i don’t know what the answer is! Here are the options for Part B
A.) $700
B.) $630
C.) $860
D.) $500
Answer:
I need the full question
Reduce to its lowest term: 12/24?
Answer:
12/24 to the lowest term is 1/2
Step-by-step explanation:
12 is half of 24, 1 is half of 2
Answer:
It's lowest term is 1/2.
HELPPP I forgot to correct these so I have to correct them REALLY quickly
Answer:
q12 B. q17 D.
Step-by-step explanation:
q12
since the side of cubes are the same,
cube root 216 = 6.
q17.
substitute x = 2 5/8 into the equation
4(2 5/8) + 9(2(2 5/8) +1)
= 66 3/4
what is 9/7 - 1/6= answer
Answer:
tht's just the answer
Step-by-step explanation:
9/7 is equal to 54/42 and 1/6 is equal to 7/42
54/42 - 7/42 is equal to 47/42
Answer:
47/42
Step-by-step explanation:
First, we make both fractions have the same denominator. The LCM of 6 and 7 is 42.
9/7 * 6/6 = 54/42
1/6 * 7/7 = 7/42
54/42 - 7/42 = 47/42
which of the following is equivalent to squareroot 8?
Answer:
2√2
Step-by-step explanation:
Which equation represents a line which is parallel to the line 7y-4x=-14
Answer:
sympathise or strategies
Helppppp me please ASAP
Answer:
5, 19, 21
Step-by-step explanation:
The sum of two smaller sides must be larger than the largest side in order to be a triangle. This means that only the first one can be a set of the triangle.
The following are the ages (years) of 5 people in a room:
22, 23, 25, 17, 18
A person enters the room.
The mean age of the 6 people is now 24.
What is the age of the person who entered the room?
Step-by-step explanation:
Mean=sum of terms/ number of terms
22+23+25+17+18/5
105/5
21
Finding the age of the sixth person
105+x/6=24
105+x=24x6
105+x=144
x=144-105
x=39