Which conditional has the same truth value as its converse?

A savings account is started with an initial deposit of $700. The account earns 1.5% interest compounded

marusya05 [52]

Answer:

(a) A = 700×1.015^t

(b) 36.2 years

Step-by-step explanation:

(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...

A = $700×1.015^t

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(b) You want to find t when A=$1200. Logarithms are involved.

1200 = 700×1.015^t . . . . use 1200 for A

1200/700 = 1.015^t . . . . . divide by 700

log(12/7) = t×log(1.015) . . . . . take logarithms

log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t

It will take about 36.2 years for the account balance to reach $1200.

4 0

4 years ago

Help me with this I will give brainliest

BaLLatris [955]

Answer:

see explanation

Step-by-step explanation:

both linear equations will have the form

y = mx + c ( m is the slope and c the y- intercept )

Chef Mate

c(n) = mn + c

calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 14) and (x₂, y₂ ) = (3, 18.5) ← 2 ordered pairs from the table

m = $\frac{18.5-14}{3-2}$ = $\frac{4.5}{1}$ = 4.5 , then

c(n) = 4.5n + c ( n represents ounces )

To find c substitute any ordered pair from the table into c(n)

using (4, 23 )

23 = 18 + c ⇒ c = 23 - 18 = 5

c(n) = 4.5n + 5 ← equation for Chef Mate

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Similarly for Grocery Gourmet

g(n) = mn + c

using (2, 23 ) and (3, 27 ) to find m

m = $\frac{27-23}{3-2}$ = $\frac{4}{1}$ = 4 , then

g(n) = 4n + c

using (4, 31 ) to find c

31 = 16 + c ⇒ c = 31 - 16 = 15

g(n) = 4n + 15 ← equation for Grocery Gourmet

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Equate the 2 equations to find when cost is the same

4.5n + 5 = 4n + 15 ( subtract 4n from both sides )

0.5n + 5 = 15 ( subtract 5 from both sides )

0.5n = 10 ( divide both sides by 0.5 )

n = 20

Then when n = 20

c(n) = 4.5(20) + 5 = 90 + 5 = 95

g(n) = 4(20) + 15 = 80 + 15 = 95

Both Chef Mate and Grocery Gourmet charge $95 for 20 ounces of extract

8 0

3 years ago

Simplify 3(2f+6)+7 thanks

Naya [18.7K]

{Expand} 3(2f+6): 6f+18

6f+18+7

18+7=25

= 6f+25

4 0

3 years ago

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$