Answer: -3+x<2
Step-by-step explanation: can't be greater than 2.
Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?
The interest rate of Jill's account as described is; 0.51%
The amount invested by Jill is $7,972.
According to compound interest;
A = P {1 + (r/n)}^nt.In which case;
A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15Therefore;
$16,876.72 = $7,972 (1 + r/1)^(1×15)$16,876.72/$7,972 = (1 + r/1)^(1×15)2.117 = (1 + r/1)^(1×15)[tex]1 + r = \sqrt[15]{2.117} [/tex]
1 + r = 1.051r = 1.051 - 1r = 0.051The interest rate is therefore; 0.51%
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2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
Answer:
[tex]0.225 \Omega =225 m\Omega[/tex]
Step-by-step explanation:
We know (Ohm second law) that [tex]R= \frac{k}{d^2}[/tex] where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= [tex]0.4\cdot9 \Omega mm^2[/tex]. The moment the diameter becomes 8mm R becomes
[tex]R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega[/tex]
Help with this problem pls!
Answer:
uh.. shii i dont know
Step-by-step explanation:
Help ASAP!!!!!
A. 1/4
B. 4
C. - 1/4
D. –4
Answer:
D. -4
Step-by-step explanation:
Identify the similar triangles.
ΔHFE=
ΔHFE=
∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)
The given triangle ΔHFE is similar to triangle GFH and triangle GHE.
What are similar triangles?Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.
Here,
Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG
Similarly
ΔHFE is similar to triangle ΔGHE.
Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.
Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.
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Let
f
(
x
)
=
3
x
+
3
f
(
x
)
=
3
x
+
3
and
g
(
x
)
=
x
2
+
x
+
2
g
(
x
)
=
x
2
+
x
+
2
. Evaluate the following.
a
.
a
.
f
(
2
)
f
(
2
)
=
b
.
b
.
f
(
−
3
)
f
(
-
3
)
=
c
.
c
.
g
(
−
2
)
g
(
-
2
)
=
d
.
d
.
g
(
3
)
g
(
3
)
=
e
.
e
.
f
(
a
−
3
)
f
(
a
-
3
)
=
f
.
f
.
g
(
a
−
3
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g
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a
-
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=
I think when you copied and pasted your question it re arranged itself
I need help with this question
Answer:
make the image bigger then I will answer
Step-by-step explanation:
(1,-1) (5,-7 find the slope
Answer:
m=-2
Step-by-step explanation:
m=-8/5-(1)
m=-8/4
divided -8 by 4
m=-2
Answer:
m=-2
Step-by-step explanation:
Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?
Answer:
107
Step-by-step explanation:
Because, 36+35=71
and 71+36=107
Answer:
107
Step-by-step explanation:
not that hard bro
Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses?
Answer:
1270 a month on expenses
Answer:
1270 a month
Step-by-step explanation:
There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270
PLEASE PLSASE ANSWER THIS
Answer:
a = 57.5
b = 57.5
Step-by-step explanation:
XY=XZ so c=d
[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]
Now draw the XH
So angle YXH = 180 — 90 — 57.5 = 32.5
a+YXH=90
a+32.5=90
so a = 57.5
We know that a + 65 + b = 180
So 57.5 + 65 + b = 180
b = 180 — 122.5
b = 57.5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the above diagram we can conclude that ~
Angle c = Angle a (Alternate interior Angle pair)
Angle d = Angle b (Alternate interior Angle pair)
and,
Angle c = Angle dbecause their opposite sides are equal.
now, according to linear pair property ~
Angle a + Angle b + 65° = 180°replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~
Angle c + Angle d + 65° = 180°2 × Angle c = 180° - 65°(because Angle c = Angle d)
2 × Angle c = 115°Angle c = 115° ÷ 2 Angle c = 57.5° = Angle dSo,
Angle a = Angle c = 57.5°Angle b = Angle d = 57.5°If x= - 2 is a solution to the equation f(x) = g(x), which one of these statements must be true?
• The graphs of f and g intersect each other at x = -2
• The graphs of f and g intersect each other at x = 2
• The graphs of f and g intersect the x-axis at -2
• The graphs of f and g intersect at the y-axis at -2
Answer:
The graphs of f and g intersect eachother at x = -2
Step-by-step explanation:
A solution to a system of equations or functions is the intersection point of them
Find the surface area of a cube
with side length 8.5 cm.
=========================================================
Explanation:
A cube has 6 identical faces, all of which are squares.
Each square has a side length of 8.5 cm, so its area is (8.5)^2 = 72.25 sq cm.
The overall surface area, aka the area of all 6 faces combined, is 6*72.25 = 433.5 square cm
Answer:
A=433.5cm²
Step-by-step explanation:
A=6a2=6·8.52=433.5cm²
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2/1 or 20/10
Step-by-step explanation:
the line moves up 2 times every 1 time it moves right.
Explain the equivalence of 7 divided by 2 or 7/2and using words.
Answer:
so this is what i think im not sure but ot will be seven dived by two . i hope this works
Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer
I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get
If he get 96 new customers that means he will have to sign 24 customers
for the new service features.
The deal is to get 25% of your new customer to sign the new service features.
When the new customers are 96 in numbers, the number of individuals(25%
of the new customers) to be signed for the new features can be calculated as
follows:
New customer to sign for the new features = 25% of 96
New customer to sign for the new features = 25 / 100 × 96
New customer to sign for the new features = 2400 / 100
New customer to sign for the new features = 24
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This means that if I get 96 new customers that means I have to get 24 new customers
From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.
Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:
= 25% of 96
= 0.25 * 96
= 24 new customers
This means that if I get 96 new customers that means I have to get 24 new customers
Learn more on proportion here: https://brainly.com/question/19914553
fraction and percent word problem
From 2012 to 2014, the cost of limes fell by 20%. Farmers increased the cost of limes by 20% from 2012 to 2013. How much did the cost fall from 2013 to 2014, after the farmers were removed?
(A) 20%
(B) 33.3%
(C) 50%
(D) 66.6%
(E) 80%
Answer:
Step-by-step explanation:
Ruth bought two watermelons. The first watermelon was 21.6 pounds, and the second watermelon was 9.07 pounds. How many pounds of watermelon did Ruth buy?
pounds
Simplify 9 - 3(5-4x)
Answer:
12x-6
Step-by-step explanation:
9-3(5-4x) distribute
9-15+12x subtract
-6+12x rearrange
12x-6
3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answer:
£86.50
Step-by-step explanation:
To find how much 10 t-shirts cost we have to find how much they cost individually.
3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.
8.65 x 10 T-Shirts = £86.50
The image point of A after a translation right 4 units and down 2 units is the point B(4,−5). Determine the coordinates of the pre-image point A.
Answer:
THE ANSWER
Step-by-step explanation:
Hope it helps❤️
Answer:
(0, -3)
Step-by-step explanation:
how many miles did Candice bike on her route?
Answer:
200miles per hour andv50 9
Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E
Answer:
EF= 18 in. , m<F=134'
Step-by-step explanation:
This ones for the boys with the booming system, top down ac with the cooling sytem
solve for x. round to the nearest tenth of a degree, if necessary
48 mouse traps/6 people = X mouse traps/1 person
Answer:
8 mousetraps
Step-by-step explanation:
to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.
2 times a number less 4 is 20
Answer:
68?
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
Let the number be x
4x- 12=20 (12 less than 4 times a number is 20)
4x= 20 +12
4x=32
x=8
Hope this helps!!
using continuous division, fill on the correct information in each blank .
Answer:
Step-by-step explanation:
how many yards are there in 2 miles
Answer: 3520
please give brainliest
Step-by-step explanation:
Answer:
3,520 miles in a Yard.
Step-by-step explanation:
WILL GIVE BRAINLIEST AND I SWEAR TO GOD IF ONE MORE BOT ANSWERS AND MAKES IT TO WHERE NO ONE ELSE CAN ANSWER
One challenge of federalism is that
power and authority are concentrated in the central government and can take away people’s rights
sometimes officials from different levels of government disagree on who should be in charge of a situation
local governments have the most power, which creates problems for trade with other nations
officials from state governments have too many rules to follow to be effective leaders
Answer:
local governments have the most power
Step-by-step explanation:
I hope this is right, but federalism gives more power to the state, so local governments could potentially have more power.
Answer:
i believe it is option one: power and authority are concentrated in the central government and can take away people’s rights
Step-by-step explanation: well i mean its true the governments are corrupted and are slowly taking away our rights
HELP ASAP!!!!!!
I need help with the slope
Answer:
2/3
Step-by-step explanation:
