Simplify the expression $a\left(t\right)=4350\cdot 1.0275^{\left(t+5\right)}$

Step-by-step Solution

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Final answer to the problem

$a\left(t\right)=4981.939\cdot 1.0275^t$
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Step-by-step Solution

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1

Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$

$a\left(t\right)=4350\cdot 1.0275^5\cdot 1.0275^t$

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$a\left(t\right)=4350\cdot 1.0275^5\cdot 1.0275^t$

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Learn how to solve algebraic expressions problems step by step online. Simplify the expression a(t)=43501.0275^(t+5). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Calculate the power 1.0275^5. Multiply 4350 times 1.1453.

Final answer to the problem

$a\left(t\right)=4981.939\cdot 1.0275^t$

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Function Plot

Plotting: $a\left(t\right)-4350\cdot 1.0275^{\left(t+5\right)}$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

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