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attashe74 [19]
3 years ago
9

Genevieve deposited $400 into her bank account. The equation A(t) = 400(1.07) can be used to calcula

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer: 7%

Step-by-step explanation: I did the test.

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length is 24 cm, width is 8 cm

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Which set of shapes contains members that are always similar to one another?.
Viefleur [7K]
Answer: Equilateral triangles.

Explanation: We know that in similar polygons, its all the corresponding angles are congruent. Only the set of equilateral triangles contains members that are always similar( by AAA similarity criteria) to one another as the measure of all the angles of equilateral triangle is fixed i.e. 60°.
Rest other do not have fixed measure for angles in it.
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1.
belka [17]

1. D

2. D

I don't know the answer to number 3 sorry.

8 0
3 years ago
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A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak
IgorC [24]

Answer

According to newton law of cooling

\dfrac{d T}{dt} = k (T - T_a)

and

T = Ce^{kt} + T_a

now At Ta = 100

T₀ = 10 °C

T₁ = 12° C

T(0) = Ce^{0} + T_a

10 = C + 100

C = -90

now,

12 = -90e^k + 100

e^k = \dfrac{88}{90}

k = ln{\dfrac{88}{90}}

at time equal to t

T(t) = 70

T(t) = -90 (\dfrac{88}{90})^t + 100

70 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{3}

t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

T(t) = -90 (\dfrac{88}{90})^t + 100

98 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{45}

t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})

t = 390 s

hence, after 390 s the temperature of the body will be 98°C

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3 years ago
Which equation represents a line which is parallel to the line y=-3/4 x -2
garri49 [273]

Answer:

Any equation with the same slope: for example y=-3/4x+10

Step-by-step explanation:

6 0
3 years ago
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