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marysya [2.9K]
2 years ago
12

Please help me with this!!!!

Mathematics
1 answer:
Leto [7]2 years ago
4 0

Answer:

yes, the figures are congruent.

Step-by-step explanation:

if you look at every side of the shapes, and measure them with the lines there, you'll see that they are the same. for example, line BA and EF both go down 1 and across 2. this is a pattern that occurs in all sides of the figure.

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What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl
Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

A(t) = A(0)(1+r)^t

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that r = 0.05, and thus:

A(t) = A(0)(1+r)^t

A(t) = A(0)(1+0.05)^t

A(t) = A(0)(1.05)^t

Time for the balance to triple?

This is t for which A(t) = 3A(0). So

A(t) = A(0)(1.05)^t

3A(0) = A(0)(1.05)^t

(1.05)^t = 3

\log{(1.05)^t} = \log{3}

t\log{1.05} = \log{3}

t = \frac{\log{3}}{\log{1.05}}

t =  22.52

It takes 22.52 years for the balance to triple in value.

3 0
3 years ago
Find the volume of the composite space figure to the right to the nearest whole number.
matrenka [14]
I'm not sure... I think it is 60 because 2*3=6 and 9*6=54 and when you add them together you get 60.
5 0
3 years ago
Hewo helppT-T pwease :3<br><br> 2/5+____= 11/15
ArbitrLikvidat [17]

Answer:

1/3 is the answer

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
HELP
Sonbull [250]

Answer:

A. 121 ⇒ III. 11

B. 64 ⇒ II. 4 and IV. 8

C. 27 ⇒ I. 3

D. 125 ⇒ V. 5

E. 16 ⇒ II. 4

Step-by-step explanation:

Let us find the correct answer

∵ 121 = 11 × 11

∴ The square root 121 is 11

∴ A. 121 ⇒ III. 11

∵ 64 = 8 × 8

∴ The square root of 64 is 8

∵ 64 = 4 × 4 × 4

∴ The cube root of 64 is 4

∴ B. 64 ⇒ II. 4 and IV. 8

∵ 27 = 3 × 3 × 3

∴ The cube root of 27 is 3

∴ C. 27 ⇒ I. 3

∵ 125 = 5 × 5 × 5

∴ The cube root of 125 is 5

∴ D. 125 ⇒ V. 5

∵ 16 = 4 × 4

∴ The square root of 16 is 4

∴ E. 16 ⇒ II. 4

5 0
3 years ago
Eliminate the parameter. x = t^2 + 1, y = t^2 - 1.
Maksim231197 [3]

Answer:

Eliminating the parameter, the equation is y = x - 2

Step-by-step explanation:

We are given the following parametric equations:

x = t^2 + 1

y = t^2 - 1

We want to eliminate the parameter t. From the first equation:

x = t^2 + 1

t^2 = x - 1

Replacing in the second equation:

y = x - 1 - 1

y = x - 2

Eliminating the parameter, the equation is y = x - 2

7 0
3 years ago
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