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3 years ago

Find 3.96/0.7 to the nearest tenth

2 answers:

7 0

$3.96:0.7= \frac{\big{3.96}}{\big{0.7}} =\frac{\big{3.96\cdot10}}{\big{0.7\cdot10}} =\frac{\big{39.6}}{\big{7}} \approx5.7$

vlada-n [284]3 years ago

3 0

3.96/0.7 is roughly equal to 9.943 and to the nearest tenth it would be 9.9

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Plz help I'm really bad at these

GREYUIT [131]

Y = mx + b, where m = slope = rise/run and b, the y intercept value

m = 1/1 = 1, then y = x + b.
We notice that y intercept is = - 1
And the equation is:

y = x - 1

6 0

3 years ago

Teri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long will it take for Teri's accou

tester [92]

It will take 54 days for Teri's account to earn an amount of $5000.

<h3>What is compound interest?</h3>

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.

It is given by formula

A = $p*e^{r*t}$

where:

A is final amount

p is principal amount

r is rate of interest and

t, is time period

Given: A= $5000, p=$1500, r=2.25% = 0.0225

To find: time period to get compounded amount

5000=1500× $e^{0.0225*t}$

$e^{0.0225t}$ = $\frac{10}{3}$

0.0225t = ㏑ ( $\frac{10}{3}$ )

t = 53.5099 ≈ 54 days

Learn more about compound interest here:

brainly.com/question/3989769

#SPJ1

7 0

1 year ago

Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3

rosijanka [135]

Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
y
2
+
12
y
y
2
+
12
y
.

(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.

4 0

2 years ago

A rocket generates a net force (F) of 2,050,000 newtons, and the rocket mass (m) is 40,000 kilograms

SVEN [57.7K]

From the given equation above, F = ma, acceleration may be calculated by slightly modifying the equation into a = F / m. Substituting the known values for force and mass,

a = 2,050,000 N / 40,000 kg = 51.25 m/s²

Thus, the acceleration achieved is 51.25 m/s².

6 0

2 years ago

Circle 1, Circle 2, and Circle 3 have the same center and have radii, respectively, of r₁ cm, r₂ cm, r₃ cm, where r₁ < r₂ &lt

ira [324]

Answer:

a) A₁ /A₂ = r₁² / (r₂² - r₁²)

b) A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

Step-by-step explanation:

We have Circle 1 and area A₁

Area of circle 2 outside circle 1 = A₂

Area of circle 3 outside circle 2 = A₃

On the other hand we have

A₁ = π*r₁² area of circle 1

A₂´ = π*r₂² area of circle 2

A₃´ = π*r₃² area of circle 3

All areas in cm²

a) A₁ /A₂

A₁ = π*r₁²

According to problem statement A₂ = π*r₂² - A₁

A₂ = π*r₂² - π*r₁² ⇒ A₂ = π* (r₂² - r₁²)

Then A₁ /A₂ = π*r₁² / [π* (r₂² - r₁²)]

A₁ /A₂ = r₁² / (r₂² - r₁²)

b) A₂ /A₃

A₂ = π* (r₂² - r₁²)

And

A₃ = π* (r₃² - r₂²)

Therefore

A₂ /A₃ = π* (r₂² - r₁²) / π* (r₃² - r₂²) ⇒ A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

6 0

3 years ago