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Ostrovityanka [42]
2 years ago
10

Please help with this math question

Mathematics
2 answers:
Ilya [14]2 years ago
8 0

Answer:

(a) The continuously compounding account

(b) $1.39

Step-by-step explanation:

(a) At identical interest rates, continuous compounding will yield the greatest account balance when compared to periodic forms of compounding (i.e., yearly, quarterly, monthly, weekly, etc.).

(b) By compounding interest monthly, Gregory's account balance will be $6,291.61 after 10 years. By compounding interest continuously, his balance will be $6,293.00. Therefore, by choosing the continuously compounding account, he will earn $1.39 more over 10 years.

Hatshy [7]2 years ago
3 0

Answer:

(a) Account B

(b) $1.39,

Step-by-step explanation:

(a) The  account with continuous compound interest will earn the most.

(b)  Amount with  2.3% interest = 5000(1 + (0,023/12))^120

= $6291.61.

Amount with Continuous compound interest

= 5000e^(0.023*10) = $6293.00.

Greg earns $1.39 more with Account B.

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4 0
3 years ago
A rectangular kitchen is 4 meters longer than it is wide. If the area of the kitchen is 192 square feet meters, how many meters
Lunna [17]
Lets x = width
length = x + 4 (4 meters longer than wide)

A = L * W
192 = x ( x +4)
192 = x^2 + 4x
x^2 + 4x - 192 = 0
(x +16)(x-12) = 0
 x - 12 = 0, x = 12
 x + 16 = 0, x = -16
so width x = 12
length = 12 + 4 = 16 (4 meters longer than wide)

answer. J
16
3 0
3 years ago
There are values of t so that sin t=.35 and cos t=.6
NISA [10]

Recall the fundamental rule of trig:

\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}

So, there exists an angle t such that

(0.6,0.35)=(\sin(t),\cos(t))

if and only if

\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1

Working out the numbers, we get

0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1

So, there doesn't exist a number t such that

(0.6,0.35)=(\sin(t),\cos(t))

7 0
3 years ago
Does anyone know how to do these?
ale4655 [162]

Answer:

D.

Step-by-step explanation:

f(x) = \sqrt[3]{4x}

g(x) = 2x + 3

\frac{f}{g} (x)  = 'f' divided by 'g'

\frac{\sqrt[3]{4x} }{2x+3}    Substitute.

x cannot be -\frac{3}{2} because that would create a zero in the denominator.

That's a no-no.

It makes it 'undefined'

7 0
3 years ago
What is 0.0044 as a percentege
Rashid [163]
0.0044 as a percentage0.44%
7 0
3 years ago
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